Question

The difference between two number is 8 and the difference of their squares is 160

Answer 1

Let numbers are x and (x - 8)

According to the question,

(x)² + (x - 8)² = 160

x² + x² + 64 - 16x = 160

2x² + 64 - 16x = 160

x² + 32 - 8x = 80

x² - 8x + 32 - 80 = 0

x² - 8x - 48 = 0

x² - 12x + 4x - 48 = 0

x(x - 12) + 4(x - 12) = 0

(x - 12)(x + 4) = 0

x = 12 or -4

Taking positive value, x = 12



Numbers are :

x = 12
x - 8 = 4


I hope this will help you



(-: