Question

If $(a+b,1)=(5,a-b)$, then the value of $2a+3b=$?

• A. $5$
• B. $12$
• C. $8$
• D. $6$

Answer 1

The correct option is B $12$

According to question

$a+b=5$
$1=a-b$

Adding above equations, we get $2a=6\Rightarrow a=3$

Put $a=3$ in $a+b=5\Rightarrow 3+b=5\Rightarrow b=2$
$a=3$ and $b=2$

So value of $2a+3b=6+6=12$