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sveticcg [70]
3 years ago
15

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?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

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

Hope this helps! Have an Awesome Day!! :-)

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