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.
\(x+x+2=12\\\\i.e.\\\\2x+2=12\\\\i.e.\\\\2x=12-2\\\\i.e.\\\\2x=10\\\\i.e.\\\\x=\dfrac{10}{2}\\\\i.e.\\\\x=5\)
and
\(x+2=5+2\\\\i.e.\\\\x+2=7\)
