Question

Rakesh has $x$ dollars more than Mohan has, and together they have a total of $y$ dollars. Which of the following represents the number of dollars that Mohan has?

• A. $\frac{y-x}{2}$
• B. $y-\frac{x}{2}$
• C. $\frac{y}{2}-x$
• D. $2y-x$

Answer 1

Answer: (A)

$\frac{y-x}{2}$

Let Mohan have $m$ (we need to find m)

Raksesh has $x$ more than Mohan, so Rakesh has $(m+x)$

They have y$ in total.

So, $m+(m+x)=y$

$\Rightarrow 2m=y-x$

$\Rightarrow m=\frac{(y-x)}{2}$