Question 623371
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Hi, 
 a man and a boy complete work together in 24 days.*** 
if for the last 6 days man alone does the work then it is completed in 26 days,
 how long will the boy takes to complete the work?
Let x and y represent one's day work by the man and boy respectively
Question states***
{{{ x + y = (3/4)/18}}}  or y = 1/24-x
     {{{x = (1/4)/8}}}, x = 1/32   
 and {{{y = 1/24 - 1/32 = 1/96}}} would take the boy 96 days alone
CHECKING our Answer***
 {{{1/32 + 1/96 = 4/96 =  1/24}}}