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.
Acc. to question
Numerator is increased by 17= numerator= x+17
Denominator is decreased by 1= denominator = x+8-1=x+7
by cross multiplication : 2(x+17)= 3(x+7)
numerator = x=13
denominator = x+8= 13+8=21
hence ,the rational number is 13/21
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
Fraction = 13 / 13 + 8 = 13/21
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?
Fraction = 13 / 13 + 8 =
A. Answer the following question.( short answer type)
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