The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
(a) 112
(b) 126
(c) 119
(d) 116

Solution:

Given, the sum of three consecutive multiples of 7 is 357.

We have to find the first multiple.

Let the three consecutive multiples of 7 be 7x, (7x + 7) and (7x + 14).

According to the question,

7x + 7x + 7 + 7x + 14 = 357

On grouping of common terms,

7x + 7x + 7x = 357 - 7 - 14

21x = 357 - 21

21x = 336

x = 336/21

x = 16

Now, 7x = 7(16) = 112

Therefore, the first multiple is 112.

✦ Try This: The sum of three consecutive multiples of 6 is 198. Find the smallest multiple

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

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NCERT Exemplar Class 8 Maths Chapter 4 Problem 15

The sum of three consecutive multiples of 7 is 357. Find the smallest multiple. (a) 112, (b) 126, (c) 119, (d) 116

Summary:

The sum of three consecutive multiples of 7 is 357. The smallest multiple is 112.

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