Find a number such that 5,15 and 35 are added to it,the product of the first and third result may - Maths - Linear Equations in Two Variables

Question

Find a number such that 5,15 and 35 are added to it,the product
of the first and third result may be equal to square of the
second

Harleen Birdi · Accepted Answer

Let x be added to 
5,15 and 35, such that we have
(x

+ 5) (x

+ 35) =
(x

+
15)2

â‡’

x2
+ 40x

+ 175
= 
x2
+ 225 +30x

â‡’
10x
= 50

â‡’

x

=
5

Hence, 5 is the required
number

Find a number such that 5,15 and 35 are added to it,the product of the first and third result may be equal to square of the second.