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

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Detailed Solution

The sum of three consecutive numbers is 156. The number which is a multiple of 13 out of these numbers is 52.
Assuming the three consecutive numbers are

.
It is given that the sum of three consecutive numbers is 156.
Then,

∴ x + x + 1 + x + 2 = 156

⇒ 3 x = 156 − 3 ⇒ 3 x = 153 ⇒ x = 1533 ⇒ x = 51

So, three consecutive numbers are:
Question Image

Hence, the number which is a multiple of 13 is 52.

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