# Math Help - consecutive #s

1. ## consecutive #s

3 consecutive integers are such that three times the smallest is 14 more than the largest. find the integers.

3 consecutive integers are such that three times the smallest is 14 more than the largest. find the integers.
You have three consecutive numbers: $n, (n+1), (n+2)$

3 times the smallest is 14 more than the largest: $3n=14+(n+2)$

Thus: $3n=n+16$

Therefore: $2n=16$

Finally: $n=8$

So the numbers are: 8, 9, and 10.