Question

Question 15

In the following question out of the four options only one is correct, write the correct answer.

The sum of three consecutive multilpes of 7 is 357. Find the smallest multiple.

(a) 112

(b) 126

(c) 119

(d) 116

Answer 1

Let the three consective multiples of 7 be 7x, (7x+7), (7x+14) where x is a natural number.
According to the equation,
7x+(7x+7)+(7x+14)=357
$\Rightarrow 21x+21=357\Rightarrow 21(x+1)=357\Rightarrow \frac{21(x+1)}{21}=\frac{357}{21}\Rightarrow x+1=17\Rightarrow x=17-1\therefore x=16$
Hence, the smallest multiple of 7 is $7\times 16,$ i.e. 112.