Question

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

Answer 1

Answer:

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

Answer 2

Step-by-step explanation:

Ratio between two natural numbers = 3:4

So, let the numbers be 3x and 4x

ATQ

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

16x^2 - 9x^2 = 175

7x^2 = 175

x^2 = 175/7

x^2 = 25

x = 5

Putting the value of x we get 3x = 3 × 5 = 15

4x = 4 × 5 = 20

so the numbers are 15 and 20 respectively.

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