Math, asked by neha49347, 1 year ago

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

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Answered by himanshusingh52

Sum of 3 consecutive multiples of 7 is 777. Let the consecutive multiples of 7 be 7n, (7n + 7) and (7n + 14). 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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Answered by dfgh4

236

$let \: the \: three \: consecutive \: multiples \: be \: x \: \\ \\1st \: multiples \: = x \\ \\ 2nd \: multiples \: = x + 7 \\ \\ 3rd \: multiples \: = x + 14 \\ \\ a.t.q. \: \\ \\ x + (x + 7) + (x + 14) = 777 \\ \\ = > 3x + 21 = 777 \\ \\ = > 3x = 777 - 21 \\ \\ = > 3x = 756 \\ \\ = > x = \frac{756}{3} \\ \\ = > x = 252 \\ \\ 1st \: multiples \: = x = 252 \\ \\ 2nd \: multiples \: = x + 7 = 252 + 7 = 259 \\ \\ 3rd \: multiples \: = x + 14 = 252 + 14 = 266 \: \: \: \: \: answer$

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