Dear aspirant,

From the question we know that,

Work done by 15 man in 24 days is 1/3.

We need to find out,

How many people are required to do 2/3 work in 6 days.

So 1st calculate total work which is 15×24×3

And it's 2/3rd remaining work is 15×24×3×2÷3 which is = 15×24×2.

now formula is

Work =  no. Of days to complete the work × no. Of person required to complete the work.

so the remaining work to be completed is 15×24×2

And no of days in which work is to be completed= 30-24= 6 days remaining.

no. Of person required to complete the work is 15+x.

so ,

15×24×2 = 6 (15+ x)

30×24 ÷6 = 15+x

5×24.   = 15 +x

120 -15 = x

so additional no. Of people required to complete the work in remaining days is 105.