Question

The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.

Answer 1

Let three consecutive numbers be x, (x + 1) and (x + 2).

According to the question,

x + (x + 1) + (x + 2) = 156  ...[Given]

⇒ 3x + 3 = 156

⇒ 3x = 156 – 3 = 153

∴ `x = 153 xx 1/3 = 51`

Thus, we get the numbers 51, 51 + 1 and 51 + 2, i.e. 51, 52 and 53. Out of these, only 52 is a multiple of 13.