Question

if the difference of two numbers is 8 and the difference of their squares is 160

Answer 1

x^2-y^2=160
(x+y)(x-y)=160
(x+y)8=160
x+y=20

Answer 2

Answer:

Two numbers are 6 and 14.

Step-by-step explanation:

Hey Mate,

Given Equations:

X - Y = 8       ......(1)

X² - Y² = 160      ......(2)

From Eq(1)

X = Y + 8   Put this value in Eq(2)

(Y + 8)² - Y² = 160

Y² + 16Y + 64 - Y² = 160

16Y + 64 = 160

16Y = 96

Y = 6.                Put this value in Eq(1)

X - 6 = 8

X = 14.

So,

Those two numbers are. 6 and 14.