this QUESTION is in inverse PROPOTION that is if we increase days than MEN for work will decrease andif we increase men for work tha the number of days in which the work will be completed will decrease.

LET the total number of men that completed the work in 24 days be 'x'

number fo days number of men

36 48

24 x

for inverse propotion we use

x×y= constant

and in dirext propotion we use x÷y=constant

x×y= constant MEANS if any question is in inverse propotion than the product of value which are given will be constant and equal to the product of value which needed to be find so by this we have,

(36×48) ÷24= x

1728÷24=x

72=x

now to justify

36×48= 1728

24×72=1728

the product is coming constant and equal means the answer 72 is correct.

x meant that the total number of people that are needed to complete work in 24 days.

as 36 men were present already

the number of people which are added to complete the work on 24 days = 72-36= 36

so 36 is the final answer; and 36 men were added to complete the work in 24 days.