One fourth of a number is 10 less than two-third of the number . find the number.
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Let the number = x.
(x/4) = (2/3)x - 10 …(1)
LCM of 4 and 3 = 12, So (1) becomes
3x = 8x - 120
5x = 120, or
x = 24.
The number is 24.
Check: LHS = 24/6 = 6.
RHS = 16–10 = 6. Correct
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