# SOLUTION: Two consecutive even numbers were multiplied. After 2 was added to each of the numbers, their product was increased by 136. What are the 2 numbers?

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: Two consecutive even numbers were multiplied. After 2 was added to each of the numbers, their product was increased by 136. What are the 2 numbers?      Log On

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 Question 5338: Two consecutive even numbers were multiplied. After 2 was added to each of the numbers, their product was increased by 136. What are the 2 numbers?Answer by Abbey(339)   (Show Source): You can put this solution on YOUR website!Let x = the first consecutive number Let x+2 = when two is added to the first consecutive number Let x+2 = second even consecutive number Let x+4 = when two is added to the second consecutive number so when multiplied together: = And when multiplied together AFTER 2 has been added to each: the second product is 136 greater than the first Subtract from both sides: Subtract 2x from both sides: subtract 8 from both sides: Divide by 4 So the first number is 32, the second consecutive number is 34. check your results: 32*34 = 1088 Add two to both numbers: 34*36 = 1224 1224-1088=136