SOLUTION: Separate 65 into two parts so that 3 times the larger will be 6 more than 6 times the smaller.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Separate 65 into two parts so that 3 times the larger will be 6 more than 6 times the smaller.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 536803: Separate 65 into two parts so that 3 times the larger will be 6 more than 6 times the smaller.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I suppose "Separate 65 into two parts" means write 65 as a sum of two numbers, like
a%2Bb=65 (Feel free to use x and y if you don't feel they are overused).
Translated into algebreeze, "3 times the larger is 6 more than 6 times the smaller" is written as
3a=6%2B6b (I decided to make a the larger and b the smaller).
3a=6%2B6b can be simplified (dividing everything by 3) into
a=2%2B2b, which can be substituted into a%2Bb=65 to give
2%2B3b=65--->3b=65-2--->3b=63--->b=63%2F3--->b=21
a=2%2B2b--->a=2%2B2%2A21--->a=2%2B42--->a=44