# The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2. Find the rational number.

Let the numerator of the rational number be x.Hence,the denominator=x+8.

According to the question,

(x+17)/(x+8-1)=3/2

x+17/x+7=3/2 =>2x+34=3x+21=>x=13.

Thus,the numerator is 13 and the denominator is 13+8=21.

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I forgot to write the no.It's 13/21.

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let numerator be x                                                                                                                                                  then denominator will be x+8

x+17/x+8-1=3/2

x+17/x+7=3/2

2{x+17}=3{x+7}

2x+34=3x+21

34-21=3x-2x

13=x

x/x+8=13/21

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if the numerator=x

then the denominator=x+8

the fraction=x/x+8

if numerator is increased by 17&denominator is decreased by 1then the fraction is

x+17/ x+8-1=x+17/ x+7

x+17/ x+8=3/2

cross multiplication

=2(x+17)=3(x+8)

=2x+34=3x+24

3x-2x=34-24

x=10

numerator=x=10

denominator=x+8=18

• -5

sorry x+17/x+7=3/2

2(x+17)=3(x+7)

2x+34=3x+21

x=34-21

x=13

numerator=x=13

denominator=x+7=21

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Let the numerator be x so the denominator is x +8
Now according to the question (x+17 )/(x + 8 -1) =3/2
=>     (x+17)/(x+7) = 3/2
=>    2(x+17)=3(x+7)
=>    3x -2x = 34 -21
=>    x = 13
So the rational number is 13/21
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nahi batayenge
• -11
let the numerator be x
a/q
x+17/x+8-1=3/2
now cross multiply x+17/x+8-1 with 3/2

=>2(x+17)=3(x+8-1)

=>2x+34=3x+24-3

=>34-24+3=3x-2x

=>13=x

hence the rational number is 13 is
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6252
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A2+b2
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Numerator=13; Denominator= 21
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21 AND 13
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12:86 verify the following
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20% defective n 25% not well in 480 what is original answer
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Let the numerator be x
denominator= x+8
Acc. to question
Numerator is increased by 17= numerator= x+17
Denominator is decreased by 1= denominator = x+8-1=x+7
x+17/x+7=3/2
by cross multiplication : 2(x+17)= 3(x+7)
= 2x+34=3x+21
= 3x-2x=34-21
= x=13
numerator = x=13
denominator = x+8= 13+8=21
hence ,the rational number is 13/21
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13/21
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Let the numerator of the fraction on be x.
Therefore,denominator of fraction=x + 8.
Again,orginal fraction= x / x + 8
According to the given condition,
X + 17 / (x + 8) -1= 3/2
X + 17 / x + 7= 3/2
2 ( x + 17 ) = 3 ( x + 1)
2x + 34 = 3x + 21
2x - 3x = 21 - 34
-x = -13
x =13
Fraction = 13 / 13 + 8 = 13/21
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Uuyg
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Easy

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Let numerator=x Then denominator= x+8 If denominator is decreased by 1and numerator is incresed by 17 Then, numerator=x+17 denominator=x+8-1=x+7 So, According to the question, (x+17)/(x+7)=3/2 =2(x+17)=3(x+7) =2x+34=3x+21 =2x-3x=21-34 =-x=-13 =x=13 Therefore, Numerator=x=13 Denominator=x+8=13+8=21 So, The rational number=Numerator/Denominator The rational number=13/21 (Ans.) I HOPE THAT MY ANSWER WILL HELP YOU...
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Let the numerator be x and the denominator be x+8.
Given that:
x+17/ x+8-1 = 3/2
x+17/ x+7 = 3/2
3(x+7) = 2(x+17) ( by cross multiplication)
3x+21 = 2x+34
3x-2x = 34-21
x = 13
Then, the rational no.= x/ x+8
= 13/21

Hope this helped:)
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Let numerator be x+17
Let denominator be x+8-1
x+17/x+7=3/2
By cross multiplication,
3(x+17)=2(x+7)
3x+51=2x+14
3x-2x = 14-51
x=-37
Numerator = x+17=-37+17=-20
Denominator= x+7=-37+7= -30
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X=13
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Solution for the given question........

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Let the numerator of the fraction on be x.?
Therefore,denominator of fraction=x + 8.?
Again,orginal fraction= x / x + 8?
According to the given condition,?
X + 17 / (x + 8) -1= 3/2?
X + 17 / x + 7= 3/2?
2 ( x + 17 ) = 3 ( x + 1)?
2x + 34 = 3x + 21?
2x - 3x = 21 - 34?
-x = -13?
x =13?
Fraction = 13 / 13 + 8 =
13/21
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X = 13/21
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Let the numerator be x
Then the fraction become
x/x+8
Then according to question
The fraction
x+17/(x+8)-1 = 3/2
Solve this equation
(x+17)?2 =(x+7)?3 {cross multiplication}
2x+34=3x+21
x=13
Fraction =13/21 Ans
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Let numerator be x.
Then,
The denominator will be x+8
X+17/x+8-1=3/2
X+17/x+7=3/2
2(x+17)=3(x+7)
2x+34=3x+21
34-21=3x-2x
13=x
x/ x+8
=13/21
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?let numerator be x ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?then denominator will be x+8

x+17/x+8-1=3/2

x+17/x+7=3/2

2{x+17}=3{x+7}

2x+34=3x+21

34-21=3x-2x

13=x

x/x+8=13/21

?
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• 0

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identify the rational number and then write the numerator and denominator 5
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?let numerator be x ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?then denominator will be x+8

x+17/x+8-1=3/2

x+17/x+7=3/2

2{x+17}=3{x+7}

2x+34=3x+21

34-21=3x-2x

13=x

x/x+8=13/21

?

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Chapter-1
Democracy
Civics

1. Give two reasons why democracy is so popular?

Ans. The reasons of being the democracy so popular are:-
? the true essence of democracy is the rule of the people or there representatives .
? In a democracy, people have the power to elect their leaders.
? Thus, the participate in the process of governance directly through their elected representatives

2. Differentiate between a democratic and monarchial form of government.

Ans. Democratic form of government is a government where people have power to elect their representative and the electric candidate words for the Welfare of the people.
Monarchial form of government is a system where the rulers or Monarch has the power to do anything he/ she want to do and also the post of Monarch are hereditary, they do not follow any rule.

3. What were the three events that paved the way of modern democracy?

Ans. The three went that paved the way of modern democracy are:-
? introduction of Magna Carta in Britain for limiting the powers of king. It gave the power from the monarch to the common people.
? North America declared themselves Independent from Britain in 1776 and adopted democratic constitution in 1787.
? In 1789, taking inspiration from the British colonies there was a revolution in France which gave the power from Kings and novels to common people.

4. Why do we need a constitution?

Ans. Constitution is above everyone in a country. The constitution gives certain rights to the citizens which ensure that the government cannot misuse its power.

5. What do you understand by 'Rule of Law' ?

Ans. Rule of law is the base of the idea of equality. In a democracy, irrespective of whichever party comes in administration or whoever heads the country, rules have to be in accordance of constitution.l
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