Question

The difference between two number is 5 different in their squares is 65 the larger number is

Answer 1

Step-by-step explanation:

Let one number be x.

$\therefore Other \: number = x-5\\</p><p>\implies x^2 - (x-5)^2 =65\\x^2 - (x^2 - 10x + 25) = 65\\</p><p>x^2 - x^2 + 10x - 25) = 65\\</p><p>10x = 65 + 25\\</p><p>10x = 80\\</p><p>x = \frac{80}{10}\\</p><p>x = 8\\</p><p>\implies x - 5 = 8 - 5 = 3$

Thus the larger number is 8 and smaller number is 3.