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 fourth of the 5 consecutive integers?

A.) 5

B.) 7

C.) 10

D.) 11

E.) 13

the following is the fourth of the 5 consecutive integers?

A.) 5

B.) 7

C.) 10

D.) 11

E.) 13

**x = first consecutive integer**

x + 1 = second consecutive integer

x + 2 = third consecutive integer

x + 3 = fourth consecutive integer

x + 4 = fifth consecutive integer

x + 1 = second consecutive integer

x + 2 = third consecutive integer

x + 3 = fourth consecutive integer

x + 4 = fifth consecutive integer

5(x + x + 1 + x + 2 + x + 3 + x + 4) = 225 {the sum of the five consecutive integers is multiplied by 5}

5(5x + 10) = 225 {combined like terms}

25x + 50 = 225 {used distributive property}

25x = 175 {subtracted 50 from each side}

x = 7 {divided each side by 25}

x + 3 = 10 {substituted 7, in for x, into x + 3, the fourth consecutive integer}

**10 is the fourth consecutive integer**

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