2 men and 7 boys can do a piece work in 4 days, the same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it.
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let one boy be X
let one man be y
let one boy and one man complete the work in 1 day be 1/X &1/y respectively
4(2×1/X+7×1/y)=1
3(4×1/X+4×1/y)=1
when reduced
8a+28b=1
12a+12b=1
then solve it by elemination method as given in photos
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