Question

If 3 times the smaller of 2 consecutive integers is added to 4 times the larger, the result is 102. find the smaller?

Answer 1

The numbers are `{14,15}` so the smaller is `14`.

Explanation:

Let the smaller number be `x` and the larger `x+1`

`3x + 4(x+1) = 102`

`3x +4x +4 =102`

`7x=98`

`x=14`