SOLUTION: The sum of two consecutive integers, after you take 5 times the larger integer, is equal to 23. What are the integers?

Question 420100: The sum of two consecutive integers, after you take 5 times the larger integer, is equal to 23. What are the integers?

Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"The sum of two consecutive integers, after you take 5 times the larger integer, is equal to 23. What are the integers?"

x = 1st consecutive integer
x + 1 = 2nd consecutive integer

x + 5(x + 1) = 23 {sum of two integers, after five times larger, is 23}
x + 5x + 5 = 23 {used distributive property}
6x + 5 = 23 {combined like terms}
6x = 18 {subtracted 5 from both sides}
x = 3 {divided both sides by 6}
x + 1 = 4 {substituted 3, in for x, into x + 1}

3 and 4 are the two consecutive integers
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