The difference of 2/5 and 1/5 of a number is 12
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The difference between 3/5 of 2/3 of a number and 2/5 of 1/4 of the same number is 288. What is the number?
Solution: Let the number be N.
(3/5)*(2/3)N = (2/5)*(1/4)N + 288
2N/5 = N/10+ 288, or
4N = N + 2880, or
3N = 2880, or
N = 960. Answer.
Check: 960*[(6/15)-(2/20)] = 960[0.4–0.1] = 288. Correct
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