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ICSE Class 8 Answered

The sum of three consecutive numbers of7 is 777.find the three numbers.
Asked by jay14mehta75 | 24 Sep, 2018, 12:12: PM
answered-by-expert Expert Answer
The sum of 3 consecutive multiples of 7 is 777.

Let the three 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.
The numbers are  252, 259 and 266.
Answered by Yasmeen Khan | 24 Sep, 2018, 12:39: PM

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