The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………
The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………
A) 112
B) 116
C) 135
D) 171
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Correct option is (A) 112
Let consecutive multiples of 7 are 7x-7, 7x, 7x+7.
\(\therefore\) (7x-7) + 7x + (7x+7) = 357
\(\Rightarrow\) 21x = 357
\(\Rightarrow\) \(x=\frac{357}{21}=17\)
\(\therefore\) Smaller number \(=7\times17-7\) = 119 - 7 = 112.
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