Question

The product of 2 numbers is 20. Their difference is 8. What are the two numbers?

Answer 1

10 and 2

Explanation:

10 x 2 = 20. If you subtract 10 by 2, it equals 8. Hope this helped!

Answer 2

the value of x is 10 and y is 2

Explanation:

`(x)(y) = 20 \: \: \: \: ..(1) \\ x - y = 8 \: \: \: \: \: ..(2) \\ x = 8 + y \\ (8 + y)(y) = 20 \\ 8y + y {}^(2) = 20 \\ y {}^(2) + 8y = 20 \\ y {}^(2) + 8y - 20 = 0 \\ y {}^(2) + 10y - 2y - 20 = 0 \\ y(y + 10) - 2(y + 10) = 0 \\ (y - 2)(y + 10) \\ y - 2 = 0 \: \: \: \:o r \: \: y + 10 = 0 \\ y = 2`

`y = - 10 \\ not \: \: \: \: \: possible`

now,

put y = 2 in (2)

`x - 2 = 8 \\ x = 10`

Verification

`(10)(2) = 20 \\ 10 - 2 = 8`

Verified