SOLUTION: If three times the smaller of two consecutive integers is added to four times the larger, the result is 123. Find the smaller integer.

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Question 733891: If three times the smaller of two consecutive integers is added to four times the larger, the result is 123. Find the smaller integer.
Answer by vidhyak(98) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two consecutive integers be n, n+1.

three times the smaller integer = 3n
four times the larger integer = 4(n+1)

3n + 4(n+1) = 123
3n + 4n + 4 = 123
7n + 4 = 123
7n = 123 - 4 = 119
n = 119/7 =17

smaller integer is 17