Question

The sum of 3 consecutive multiples of 7 is 777. Find the number

Answer 1

Sum of 3 consecutive multiples of 7 is 777.
Let the consecutive multiples of 7 be 7n, (7n + 7) and (7n + 14).
⇒ (7n) + (7n + 7) + (7n + 14) = 777
⇒ 21n + 21 = 777
⇒ 21n = 756
⇒ n = 36
Therefore, multiples of 7 whose sum is 777 are (7 x 36), (7 x 36) + 7 and (7 x 36) + 14.That is 252, 259 and 266.