SOLUTION: If three times the smaller of two consecutive integers is added to four times the larger, the result is 95. Find the smaller integer.

Algebra ->  Equations -> SOLUTION: If three times the smaller of two consecutive integers is added to four times the larger, the result is 95. Find the smaller integer.      Log On


   

Question 186405: If three times the smaller of two consecutive integers is added to four times the larger, the result is 95. Find the smaller integer.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Consecutive Integerssystem%28x%2Cx%2B1%29
Condition: 3x%2B4%28x%2B1%29=95
Continuing, 3x%2B4x%2B4=95
7x=95-4=91=====> cross%287%29x%2Fcross%287%29=cross%2891%2913%2Fcross%287%29
highlight%28x=13%29, Smaller Integer
13%2B1=highlight%2814%29, Larger Integer
Lt's check via Condition:
3%2A13%2B4%2A14=95
39%2B56=95
95=95
Thank you,
Jojo