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While 4 men and 6 boys can do a piece of work in 2 days, 1 man, and 3 boys can do the same work in 6 days. In how many days can 1 man and 1 boy complete the same work?

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Let the capaciteis of one man and one boy be m and b respectively
Given
`4m+6b=(1)/(2)`
That is, `2m+3b=(1)/(6)`
Also, `m+3b=(1)/(36)`
Eqs.(1)-(2) gives, `m=(1)/(4)-(1)/(6)=(1)/(36)`
`m+b=(1)/(12)+(1)/(36)=(1)/(9)`
`:.` 1 mand and 1 boy can complete the work in 9 days

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