When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number?

Question

Accepted Answer

x = 13 p + 11 and x = 17 q + 9 ∴ 13p + 11 = 17q + 9 ⟹ 17q - 13p = 2 ⟹ q = 2 + 13p …

The least value of p for which q =	2 + 13p	is a whole number is p = 26
	17

Discussion & Comments