Question

sum of 3 consecutive multiple of 7 is 77. find this multiple.
with explanation​

Answer 1

it has to be 3 digit so u mean 777.

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.

Answer 2

Answer:

252, 259, 266

(7n) + (7n+7) + (7n+14) =77

21n +21 =77

n=36