Question

A farmer has $2494$ sheep and $2193$ lambs. He farms them into flocks, keeping sheep and lambs separate and having the same number of animals in each flock. If these flocks are as large as possible. Find the total number of flocks required for the purpose.

Answer 1

The maximum number of animals in each flock is $43$.

Diividing $2193$ and $2494$ by $43$ will give the number of flocks of sheep and the number of flocks of lamb, which is $58$ and $51$ respectively.

$\therefore$ the total number of flocks $=51+58=109$