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The sum of th of 3 consecutive positive integers is 110. What are the numbers? What are the equations used to solve this problem?

User Bob White
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n, n+1, n+2
n + n + 1 + n + 2 = 110
3n = 117
n=39
Answer:
39, 40, 41.

I hope this helped, even a little. :)
User SpoksST
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The sum of the 3 consecutive positive integers is 110. What are the numbers? What are the equations used to solve this problem?

Since we require the sum of the squares to equal 110 ⇒ X² + (X+1)² + (X+2)² = 110 Expanding the left-hand side: X² + X² + 2·X + 1 + X² +4·X + 4 = 110 3·X² + 6·X + 5 = 110 3·X² + 6·X - 105 = 0 Solve utilizing the quadratic formula and you get roots: X = 5, X = -7 Your quandary doesn't verbalize that we have to restrict the solution to positive integers only and since we are summing the squares we have 2 solutions that work: 5, 6, 7 and -7, -6, -5
User GingerJack
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