Question

6.A sum of money is sufficient to pay as wages for 21 days and bs wages for 28 days. The same money is sufficient to pay the wages of both for?

Answer 1

Let S be the sum of money

$a \: one \: day \:wage = \frac{s}{21} \\ b \: one \: day \: wage = \frac{s}{28} \\ (a + b) \: one \: day \: wage = \frac{s}{21} + \frac{s}{28} \\ (a + b)s = \frac{28s + 21s}{21 \times 28} \\ (a + b) = \frac{49s}{7 \times 3 \times 7 \times 4} \\ (a + b) = \frac{s}{12}$

It implies that S can be divided into 12 parts.

So, the total sum S can be divided to both of them for 12 days...

Hope this helps, if you've any doubts comment below :)))

Have a nice day

Answer 2

Answer:

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