The sum of 3 consecutive multiples of 7 was 357 then the smaller numbe

1.	The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………A) 112 B) 116 C) 135 D) 171
Answer» Correct option is A) 112 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.

The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………A) 112 B) 116 C) 135 D) 171

Answer»

Correct option is A) 112

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.