Question

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

Answer 1

Answer:

the value of x is 10 and y is 2

Step-by-step 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

Answer 2

Answer:

10 and 2

Step-by-step explanation:

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