Question
The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.
Asked by: USER6847
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Answer (105)
n - the larger of two i ntegers
m - the smaller of two integers
n + m = 74 → n = 74 - m
n = 2m + 26
Therefore we have:
2m + 26 = 74 - m |subtract 26 from both sides
2m = 48 - m |add m to both sides
3m = 48 |divide both sides by 3
m = 16
n = 74 - 16 = 58
Answer: 16 and 58.