Lois has $x$ dollars more than Jim has, and together they have a total of $y$ dollars. Which of the following repres

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Wed Oct 06, 2021 7:17 am

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

(A) $\dfrac{y - x}2$

(B) $y - \dfrac{x}2$

(C) $\dfrac{y}2 - x$

(D) $2y - x$

(E) $y - 2x$

Answer: A

Source: Official Guide

Source: Beat The GMAT — Problem Solving | Wed Oct 06, 2021 7:17 am

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Re: Lois has $x$ dollars more than Jim has, and together they have a total of $y$ dollars. Which of the following re

by Brent@GMATPrepNow » Wed Oct 06, 2021 11:57 am

Vincen wrote: ↑
Wed Oct 06, 2021 7:17 am
Lois has $x$ dollars more than Jim has, and together they have a total of $y$ dollars. Which of the following represents the number of dollars that Jim has?

(A) $\dfrac{y - x}2$

(B) $y - \dfrac{x}2$

(C) $\dfrac{y}2 - x$

(D) $2y - x$

(E) $y - 2x$

Answer: A

Source: Official Guide

Let J = number of dollars that Jim has

Lois has x dollars more than Jim has
So, J + x = number of dollars that Lois has

Together they have a total of y dollars
So, (Jim's $) + (Lois' $) = y
Or: J + (J+x) = y
Simplify: 2J + x = y

Which of the following represents the number of dollars that Jim has?
Solve 2J + x = y for J
Subtract x from both sides to get: 2J = y - x
Divide both sides by 2 to get: (y-x)/2

Answer: A

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Brent

Brent Hanneson - Creator of GMATPrepNow.com

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