Divide Rs 216000 into two parts such that one fourth of one part is equal to one fifth of the other part.Find the two parts.
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Let one number be x and the other will be (132-x). Now
(x/4) - (132-x)/6 = 11. LCM of 4 and 6 is 12. Hence
3x - 2(132-x) = 11*12 = 132, or
3x - 264 + 2x = 132, or
5x = 396, or
x = 396/5 = 79.2 and the other part is 132 - 79.2 = 52.8.
The two numbers are 79.2 and 52.8.
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