the sum of three consecutive multiples of 7 is 777 find the numbers?
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your answer is
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.
your answer is
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.
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