SOLUTION: If 3 times the smaller of two consecutive integers is added to four tmes the larger the result is 130. Find the numbers.

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: If 3 times the smaller of two consecutive integers is added to four tmes the larger the result is 130. Find the numbers.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 30745: If 3 times the smaller of two consecutive integers is added to four tmes the larger the result is 130. Find the numbers.
Answer by ikdeep(189) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first or smaller consecutive integer = x
Let the second or larger consecutive integer = x+1
Now according to equation,,,we get
3(x) + 4(x+1) = 130
3x + 4x + 4 = 130
7x + 4 = 130
subtracting 4 from both sides we get ...
7x = 126
divide both sides by 7 and we get
x = 18
so smaller consecutive integer = x = 18
and Larger consecutive integer = x + 1 = 19
hope this will help you
Please feel free to revert back for any further queries.