Answer :
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
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:
1)
x represents smallest integer
and x=5
2)
x+2 represents the larger consecutive odd integer and
x+2=7
Step-by-step 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.
[tex]x+x+2=12\\\\i.e.\\\\2x+2=12\\\\i.e.\\\\2x=12-2\\\\i.e.\\\\2x=10\\\\i.e.\\\\x=\dfrac{10}{2}\\\\i.e.\\\\x=5[/tex]
and
[tex]x+2=5+2\\\\i.e.\\\\x+2=7[/tex]