Question

Kumar thought of a number smaller than 100. When he divided it by 8 the remainder is 1. When he divided it by 9, the remainder is 2. What is his number?

Answer 1

n + 1 = 73

n + 2 = 74

n = 72

Explanation:

let n = number Kumar thought of

(n/8) + 1 = (n/9) + 2

n/8 - n/9 = 2 - 1

(9n - 8n)/72 = 1

n/72 = 1

n = 72