Question

Please solve this question <br /><br />Two natural numbers are in ratio 3:4 . Find the numbers if the difference between their squares is 175.

Answer 1

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Let the numbers be 3x and 4x

Difference between their squares.....

(4x)² - (3x)² = 175

16x² - 9x² = 175

7x² = 175

x² = 175/7

x² = 25

x = 5

The numbers are 3 × 5 = 15.....

4 × 5 = 20......

Hope it helps

Answer 2

Let nos. be
3x and 4x
So,
$(4x)^{2} - {(3x)}^{2} = 175\\ 16 {x}^{2} - 9 {x}^{2} = 175 \\ 7 {x}^{2} = 175 \\ {x }^{2} = 25 \\ x = 5$
Hence
First no.=3x
=3×5
=15
And
Second no.=4x
=4×5
=20
The numbers are 15 and 20.