Question

If the sum and difference of two numbers is 34 and 20 respectively, then the product of those numbers are ___.

• A. 189
• B. 289
• C. 199
• D. 249

Answer 1

The correct option is A 189

Let the numbers be $x$ and $y$.
By question, we have $x+y=\mathrm{34...}\left(1\right)$
$x-y=\mathrm{20...}\left(2\right)$
(1)-(2)$⟹2y=14⟹y=7$
Substituting this value of $y$ in (2), we have $x-7=20⟹x=20+7=27$
Thus, the numbers are 7 and 27 and product of the numbers = $7\times 27=189$