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