Question

Two numbers are in the ratio 3: 5 find the number if the difference between there square is 144

Answer 1

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ANSWER :

The numbers are 9 and 15.

STEP BY STEP EXPLANATION :

As the ratio is 3:5 .

Let the numbers be 3x and 5x .

Therefore,

(5x)^2 - (3x)^2 = 144

25(x)^2 - 9(x)^2 = 144

16 x^2 = 144

(x)^2 = 144/16

x^2=9

Therefore x = 3

The numbers are therefore 3x = 9 and 5x = 15