SOLUTION: Find a number so that 10 less than two-thirds the number is one-fourth the number.

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Question 424424: Find a number so that 10 less than two-thirds the number is one-fourth the number.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution: Denote the unknown number x, base on the given data write the equation:
%282%2F3%29%2Ax-10=%281%2F4%29%2Ax Multiply both sides with LCD 12.
8%2Ax-120=3%2Ax
8x-3x=120
5x=120 Divide both sides with 5
x=24
Check: 2/3*24-10=1/4*24 => 16-10=6 => 6=6.
Answer: The unknown number is 24