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Maths ( urgent help )

20 men can do a piece of work in 24 days. After working for 6 days, an additional number of men are taken to finish the work in 21 days from the beginning. Find the number of additional men .
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I tried using variation method but the answer didn't come correct :(

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  1. in 6 days, the 20 men have done 1/4 of the work.

    One man can do 1/480 of the work in a day.

    So, if x men finish 3/4 of the work in 15 more days, that means

    x/480 * 15 = 3/4
    x = 24

    So, 4 extra men were hired.

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  2. thank you very much sirr.

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  3. But I didn't get what the question says. 21 days from the beginning..... ??

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  4. In 1 day 20 men can do 1/24 of work, In 6 days 20 men can do 1/24*6=1/4 work, Remaining work=1-1/4=3/4 work, Let x denoted added men, Remaining work is completed by 20+x men in (21-6=15) days, 20 men can do 1 work in 24 days.........(i) 20+x men can do 1 work in 15*4/3= 20 days.......(ii) Sloving equation i and ii, we get, x=4 days

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