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garik1379 [7]
3 years ago
9

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho

w you got your answer?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0
Set up two equations.
s + 12 = l , s + l = 74     (these equations represent the problem)

 s + (s + 12) = 74           plug in "l" to the second equation.

2s + 12 = 74               combine like terms.

2s + 12 - 12 = 74 - 12     subtract to isolate the variable

2/2s = 62/2     divide to isolate the variable.

s = 31.       This means the smaller number is 31.

31 + 12 = 43.   since the larger number is 12 more than the smaller, add 12.

l = 43              the larger number has a value of 43.

small number = 31
larger number = 43

hope this helps! :D
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