7. The sum of three consecutive multiples of 8 is 888. Find the multiples.Solution:
Question
7. The sum of three consecutive multiples of 8 is 888. Find the multiples.
Solution:
Solution
Sure, here is the solution:
Let's denote the three consecutive multiples of 8 as 8n, 8(n+1), and 8(n+2). These are three consecutive multiples of 8 because they are separated by 8.
According to the problem, the sum of these three numbers is 888. So we can write the equation:
8n + 8(n+1) + 8(n+2) = 888
Simplify the equation:
8n + 8n + 8 + 8n + 16 = 888
Combine like terms:
24n + 24 = 888
Subtract 24 from both sides:
24n = 864
Divide both sides by 24:
n = 36
So the three consecutive multiples of 8 are 836 = 288, 837 = 296, and 8*38 = 304.
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