Question

sum of three consecutive multiple of 7 is 777. find these multiple s

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

Let first , second and third multiple of 7 be x, (x+7) and (x+14) respectively.
According to question,
x+x+7+x+14=777
3x+21=777
3x=777-21
3x=756
x=756/3
x=252
Hence,
First multiple =252
Second multiple =259
Third multiple =266