The sum of three consecutive multiples of 8 is 888. Find the multiples.
This question is from Class 8 Maths NCERT Chapter 2 Linear Equations in One Variable Exercise 2.2 Question 7.
Solution:To solve this question, we need to form a linear equation.
Let the first multiple of 8 be x.
Then second consecutive multiple of 8 will be x + 8,
Third consecutive multiple of 8 will be x + 8 + 8 = x + 16.
As it's given in the question,
The Sum of three consecutive multiples of 8 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 of 8 are 288, 296, and 304.
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