The sum of 5 consecutive integers is 100. What is the first number in this sequence?

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cgaines3 cgaines3

16-04-2018
Mathematics

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The sum of 5 consecutive integers is 100. What is the first number in this sequence?

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geerky42 geerky42 · Answer 1 · 2018-04-16T23:36:01+02:00

geerky42 geerky42

16-04-2018

So we can call first number "n"

Then all five integers would be n, n+1, n+2, n+3, n+4

So sum of them would be 5n + 10 = 100

Now you can solve for n:

5n + 10 = 100

5n = 90

n = 18

Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.

So answer is 18

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