The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. Wha
t are the two numbers?
A.
12 and 4
B.
15 and 7
C.
20 and 12
D.
23 and 15
2 answers:
A-b=8
2a+3b=51
2a-2b=16
2a+3b=51
Subtract both
-5b=-35
b is 7 and a is 15
Answer:
B. 15 and 7
Step-by-step 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
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