The sum of three consecutive multiples of 8 is 888. Find the multiples

Solution:

Let's form a linear equation for the given problem statement.

Let the first multiple be x

Then second consecutive multiple of 8 will be x + 8

Third consecutive multiple of 8 will be x + 8 + 8 = x + 16

Sum of three consecutive multiples is 888.

⇒ x + x + 8 + x + 16 = 888

⇒ 3x + 24 = 888

⇒ 3x = 888 - 24

⇒ 3x = 864

⇒ x = 864/3

⇒ x = 288

Therefore,

x + 8 = 296, x + 16 = 304

Thus, the multiples are 288, 296 and 304.

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

Video Solution:

The sum of three consecutive multiples of 8 is 888. Find the multiples

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 7

Summary:

If the sum of three consecutive multiples of 8 is 888, then the multiples are 288, 296 and 304.

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