Question

Please solve this question

Two natural numbers are in ratio 3:4 . Find the numbers if the difference between their squares is 175.

Answer 1

Let the common ratio be x.

Then you can have the ratio represented as 3x:4x.

Given that Difference between their squares is 175.

(4x)^2 - (3x)^2 = 175

16x^2 - 9x^2 = 175

7x^2 = 175

x^2 = 175/7

x^2 = 25

x = 5.


Hence 3x = 3 * 5 = 15

            4x = 4 * 5 = 20.


Therefore the numbers are 15 and 20.


Verification:

20^2 - 15^2 = 175

400 - 225 = 175

175 = 175


Hope this helps!

Answer 2

let, the two numbers r 3x &4x
(4x)^2-(3x)^2= 175
16x2-9x2=175
7x2=175
x=√25=5
the numbers r 15&20