the sum of three consecutive multiples of 7 is 357 find all three multiples class 8
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The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple. (a) 112 (b) 126 (c) 119 (d) 116
solution:
(a) 112
Let us assume the three consecutive multiples of 7 be 7x, (7x + 7), (7x + 14) where x is a natural number
As per the condition in the question,
7x + (7x + 7) + (7x + 14) = 357
21x + 21 = 357
21(x + 1) = 357
(21(x + 1))/21 = 357/21
X + 1 = 17
X = 17 – 1
X = 16
Therefore, the smallest multiple of 7 is,
7 × 16 = 112.
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