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

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Solution

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
$\Rightarrow 21 x + 21 = 357 \Rightarrow 21 (x + 1) = 357 \Rightarrow \frac{21 (x + 1)}{21} = \frac{357}{21} \Rightarrow x + 1 = 17 \Rightarrow x = 17 - 1 ∴ x = 16$
Hence, the smallest multiple of 7 is $7 \times 16,$ i.e. 112.

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Out of the given four options, only one is correct. Write the correct answer.

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