Which is the largest of the 5 consecutive integers?

When 5 consecutive integers are added together and the sum is then multiplied by 5, the result is 225. Which of the following is the largest of the 5 consecutive integers?

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Consecutive integers increase by 1 each time you jump from number to number.

x = 1st consecutive integer
x + 1 = 2nd consecutive integer
x + 2 = 3rd consecutive integer
x + 3 = 4th consecutive integer
x + 4 = 5th consecutive integer

Add the 5 consecutive integers together, multiply by 5, and set equal to 225.

5(x + x + 1 + x + 2 + x + 3 + x + 4) = 225
5(5x + 10) = 225  {combined like terms}
5x + 10 = 45   {divided each side by 5}
5x = 35  {subtracted 10 from each side}
x = 7   {divided each side by 5}

x + 4 = 11 {substituted 7, in for x, into x + 4}

11 is the largest of the 5 consecutive integers

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