Question 1039045
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If 6 men and 8 boys can complete a piece of work in 10 days and 8 men and 6 boys can complete in 14 days. 
in how many days {{{how_many}}} boys alone can complete the work?
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<pre>
    Let "m" be the rate-of-work for one single man in job-per-day unit.
And let "b" be the rate-of-work for one single boy in job-per-day unit.


Then you have this system of two eqns in two unknowns

6m + 8b = {{{1/10}}},   (1)     ("6 men and 8 boys can complete a piece of work in 10 days")
8m + 6b = {{{1/14}}}.   (2)     ("8 men and 6 boys can complete a piece of work in 14 days")

Solve the system by any way you can and get "m" and "b".
Then you will be in position to answer the question.
</pre>

You forgot to assign the number of boys in your question.