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
1 answer:
Answer:
The Answer is: The first number is 15 and the second one is 7.
Step-by-step explanation:
Let f = first number and s = second number
The difference between the two is 8:
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
Proof:
f - s = 8
15 - 7 = 8
8 = 8
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