Question

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

Answer 1

B. 15 and 7

Explanation:

Let x and y be the two numbers

x - y = 8

x = y + 8

2x + 3y = 51

2y + 16 + 3y = 51

5y = 35

y = 7

x = 15

Answer 2

a-b=8
2a+3b=51

2a-2b=16
2a+3b=51


Subtract both
-5b=-35

b is 7 and a is 15