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A sum is sufficient to pay X's wages for 21 days, Y's wages for 28 days. How many days will it pay both together?

1. 10 days
2. 11 days
3. 12 days
4. 14 days

Correct answer: 12 days

Solution

Daily combined wage rate = 1/21+1/28 = (4+3)/84 = 7/84 = 1/12 of total sum per day. So sum lasts 12 days for both.

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