Question

I am a number between $20$ and $30$. If you divide $47$ and $92$ by me, the remainders are $3$ and $4$ respectively what number am I?

Answer 1

When we divide 47 by the required number then the remainder = 3

∴ 47 - 3 = 44

so the number divides 44 exactly

Between 20 & 30 only 22 divides the number 44 exactly

Similarly,

92 - 4 = 88

Between 20 & 30 only 22 divides the number 88 exactly

so the required number is 22