a sum of money is sufficient to pay as wages for 21..., Time & Work, General Mathematics

Question:A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for :

A `12` days 
B `14` days 
C `12 1/4` days 
D `24 1/2` days

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+ AnswerA

+ Explanationsolution:
Let total money be Rs. `x`.
A's 1 day's wages `= x/21`, B's 1 day's wages `= x/28`.
`:. (A + B)`'s 1 day's wages `= (x/21 + x/28)`
                                             `= x/12`.
`:.` Money is sufficient to pay the wages of both for `12` days.

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