Question

· If (a + b) = 12 and a2 - b2 = -24 then the value of a-b is : (1) 1 - 2 (2) 2 (3) 144 (4) 36​

Answer 1

Answer:

The answer is -2, which is option (1)

Step-by-step explanation:

Given $a+b=12$ and $a^2-b^2=-24$

And we know that,

 $a^2-b^2=(a+b)(a-b)$

$\Rightarrow -24=12(a-b)\\\Rightarrow a-b=\frac{-24}{12}=-2$