Question

The sum of two consecutive odd integers equals 12. who are they?

1. x represents
a. the smaller
b. the larger
2. x+2 represents
a. the larger
b. the smaller

Answer 1

Let x represent the smaller number
Then x + 2 would represent the larger number

x + (x + 2) =12
2x + 2 = 12
2x = 10
x = 5
and x + 2 = 7
5 + 7 = 12

Answer 2

1)

x represents smallest integer

and x=5

2)

x+2 represents the larger consecutive odd integer and

x+2=7

Explanation:

• Let the smaller consecutive odd integer be denoted by x.

• and the larger consecutive odd integer is denoted by x+2.

Now, it is given that:

The sum of two consecutive odd integers equals 12.

i.e.

x and x+2 on adding is equal to 12.

i.e.

`x+x+2=12\\\\i.e.\\\\2x+2=12\\\\i.e.\\\\2x=12-2\\\\i.e.\\\\2x=10\\\\i.e.\\\\x=(10)/(2)\\\\i.e.\\\\x=5`

and

`x+2=5+2\\\\i.e.\\\\x+2=7`