SOLUTION: One-fifth of a certain number is two more than one-sixth of the number. Find the number.

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Question 913232: One-fifth of a certain number is two more than one-sixth of the number. Find the number.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's number be x
One-fifth of a number: %281%2F5%29x
one-sixth of the number:+%281%2F6%29x
if one-fifth of a number is two more than one-sixth of the number, than we have
%281%2F5%29x=%281%2F6%29x%2B2
%281%2F5%29x-%281%2F6%29x=2
%281%2A6%2F5%2A6%29x-%281%2A5%2F6%2A5%29x=2
%286%2F30%29x-%285%2F30%29x=2
%286%2F30-5%2F30%29x=2
%281%2F30%29x=2
x=2%2A30
x=60
check:
%281%2F5%29x=%281%2F5%2960=12
%281%2F6%29x=%281%2F6%2960=10
true because 12 is 2 more than 10