Question

Two numbers are in ratio 4:5 the difference of the square is81 find the number

Answer 1

Here's your answer

Let the common factor be x

1st number = 4x
2nd number= 5x

So,

(5x)² - (4x)² = 81

25x² - 16x² = 81

9x² = 81

${x}^{2} = \frac{81}{9}$
x² = 9

$x = \sqrt{9}$
x = 3


so,

1st number = 4x = 4 × 3 = 12
2nd number = 5x = 5 × 3 = 15


Hence ,

the two numbers are 12 and 15

Answer 2

x:y = 4:5
x = 4a
y = 5a

(5a)² - (4a)² = 81
25a² - 16a² = 81
9a² = 81
a² = 9
a = 3

=> x = 4 * 3 = 12
=> y = 5 *3 = 15

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