Question

Find two consecutive even integers whose sum is 126, please show your work.

Answer 1

X+ X+2=126
Subtract 2 from both sides
X+2=124
Add like terms
2x=124
Divide both sides by 2
X=62
One integer is
62 and the other is 64

Answer 2

let x represent the first integer and x+2 represent the second integer

x+x+2= 126
combine like terms

2x+2=126
subtract 2 from each side

2x=124
divide both sides by 2

x=62

the first integer is 62
because the second integer is represented by x+2, it is equal to 64

to check work

62+64 = 126