Select the correct answer. The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51.

What are the two numbers?

A. 12 and 4

B. 15 and 7

C. 20 and 12

D. 23 and 15

15 & 7

Step-by-step explanation:

f - s = 8

f = 8 + s

Twice the first number plus three times the second number is 51:

2f + 3s = 51

Substitute:

2(8 + s) + 3s = 51

16 + 2s + 3s = 51

16 + 5s = 51

5s = 51 - 16

5s = 35

s = 7, the second number

Find f:

f = 8 + 7 = 15, the first number

f - s = 8

15 - 7 = 8

8 = 8