Question

the sum of 3 consecutive multiples of 7 is 777 find these multiples

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

Answer 2

Given Sum of 3 concecutive multiples of 7 is 777.

Let the numbers be.
x-7,x,x+7

Acc. to question.
x-7+x+x+7=777
→3x=777
→x=777/3=259

So x-7=259-7=252
x+7=259+7=266


so the required Consecutive multiples of 7 are ...
252,259,266.


Checking
252+259+266=777

Hope it helps...
Regards,
Leukonov.