Question

The sum of three consecutive multiples of 7 is 777.Find theese multiples.

Answer 1

um 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

Let the three consecutive multiple of 7 be 7x
(7x + 7) (7x + 14)

(7x) + (7x + 7) + (7x + 14) = 777
21x + 21 = 777
21x = 777 - 21
21x = 756
x = 756/21
x = 36
Multiple of 7 whose sum is 777 are (7×36) , (7×36) + 7 , (7×36) + 14
That is 252, 259 and 266.
Hence Solved

Hope it's helpful