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The sum of 5 consecutive integers is 95 what are the integers?
Eltt69
Let's solve this using an equation and some algebra. The original equation will look like this:
95 = x + x+1 + x+2 + x+3 + x+4
I've grouped the plus x's and numbers so that its easier to see. Since the numbers are consecutive, we can determine that the numbers are x through adding 1 through 4 to x for the remaining 4 integers. Now we can simplify the problem. I'll put each step on its own line starting with a repeat of the original equation:
95 = x + x+1 + x+2 + x+3 + x+4
95 = 5x + 10
95 - 10 = 5x + 10 - 10
85 = 5x
85/5 = 5x/5
17 = x
So the lowest integer is 17. Now we just count 4 numbers higher to get the remaining 4 of 5 integers.
Your answer is 17, 18, 19, 20, 21.
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