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 ?

Foundation

Mathematics Foundation

Solution of Linear Equation

Linear Equations in One Variable

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

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

B

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

C

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

D

2y – x

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Let Mohan have $m$ dollars. Then Rakesh has $m + x$ dollars. Together, their total is $m + (m + x) = y$ . Simplifying: $2 m + x = y$ . Now, solve for $m$ : $2 m = y - x$ , so $m = \frac{y - x}{2}$ .

Final Answer: $\frac{y - x}{2}$