Question

When a number x is divided by 24 the remainder is 23 and when it is divided by 36 the remainder is 35. Find the least number that x can be.

Answer 1

7 is the answer. If a number can be divided by 36 then it can also be divided by 12 which is 3*12 therefor the remainder will be 19-12 which is 7. When 19 is divided by 36, the remainder is 19 and so 19 must be a number. When 19 is divided by 12 the remainder is 7.

Explanation: