Question

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

Answer 1

HEY !

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 IT HELPS

Answer 2

Hèy Fríéñd...

Here is the Solution..

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Refer to the Attachment..

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I Hope This Will Help You