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

Jul 15, 2016

The numbers are $\left\{14 , 15\right\}$ so the smaller is $14$.

#### Explanation:

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

$3 x + 4 \left(x + 1\right) = 102$

$3 x + 4 x + 4 = 102$

$7 x = 98$

$x = 14$