1 man will complete the work in = 6 x 12 = 72 days 1 woman will complete the work in = 8 x 18 = 144 days 1 child will complete the work in = 18 x 10= 180 days 4 men + 12 women + 20 children’s 2 days' work = 2 (724​+14412​+18020​) = 2 (181​+121​+91​) = 362(2+3+4)​ = 21​ ∴ Remaining work = 21​ ∴ Required number of men = 72 × 21​ = 36