Algebra question

Question

Find three consecutive even integers that have a sum of 54 and calculate their product. Explain each step.

Answer 1

Let x be the first integer. The next 2 consecutive integers would be x+1 and x+2

So x + x+1 +x+2 = 54 3x+3= 54. 3x= 51. X=17

So our 3 consecutive integers are 17,18 and 19 which do add to 54

(17)(18)(19)=5814