5 men + 3 boys can reap 23 hectares in 4 days ......(i)
3 men + 2 boys can reap 7 hectares in 2 days ......(ii)
∴ From (i),
14( 5 men + 3 boys) can reap 23 x 14 hectares in 4 days
Now, from (ii)
⇒ 23 (3 men + 2 boys) can reap 7 x 2 x 23 hectares in 4 days
∵ 14(5 men + 3 boys) = 23 (3 men + 2 boys)
⇒ 70 men + 42 boys = 69 men + 46 boys
∴ 1 men = 4 boys
Now, 5 men + 3 boys = 23 boys
⇒ 23 boys can reap 23 hectare 4 days
⇒ 1 boy can reap 1 hectares in 4 days
⇒ 4 boys can reap 1 hectare in 1 day
⇒ 4 x 45 boys can reap 45 hectaes in 1 day
⇒ 4 x 45 / 6 boys can reap 45 hectares in 6 days
∴ 30 boys can reap 45 hectares in 6 days
But 30 boys = 28 boys + 2 boys = 7 men + 2 boys
Hence, 2 boys can assist 7 men for the work.
