Question

If the sum of two integers is $12$ and their difference is $4$ then the greater number is ________.

• A. $7$
• B. $6$
• C. $8$
• D. $9$

Answer 1

The correct option is C $8$

Let two numbers are $a$ and $b$
$a>b$.

Their sum : $a+b=12$

Their difference : $\underset{–}{a-b=4}$

Adding : $2a=16$

$\therefore a=8$

$\therefore a>b$

So, the greater number is $8$.