GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 Feb 2020, 01:32

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Three years back, a father was 24 years older than his son. At present

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 61540
Three years back, a father was 24 years older than his son. At present  [#permalink]

### Show Tags

14 Feb 2016, 04:30
00:00

Difficulty:

35% (medium)

Question Stats:

79% (01:43) correct 21% (01:27) wrong based on 20 sessions

### HideShow timer Statistics

Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?

A. 12 years
B. 6 years
C. 3 years
D. 9 years
E. 27 years

_________________
Intern
Joined: 23 Dec 2015
Posts: 3
Three years back, a father was 24 years older than his son. At present  [#permalink]

### Show Tags

14 Feb 2016, 07:42
According to the statement, 3 years back the father was 24 years older than his son.
Mathematically we can write it like that :

(Y-3)-(X-3) = 24

Now the faher is 5 time older than his son, again we can write it like that :

5x = Y

thats give us a system of linear equation

(Y-3) - ( X - 3) = 24
5X = Y

Where Y is the age of the father and X the age of the son nowadays.

According to this we can easily solve the system by remplacing the Y in the first equation by the 5X in the second equation :

5X -3 - (x - 3) = 24
X= 6

According to X equal 6 we can conclude that X + 3 is the age of the son 3 years from now.
Intern
Joined: 14 Dec 2014
Posts: 18
Concentration: Technology
Re: Three years back, a father was 24 years older than his son. At present  [#permalink]

### Show Tags

14 Feb 2016, 09:12
Using linear equations to convert the word problem:
** F = fathers current age & S = sons current age

#1 Three years back, a father was 24 years older than his son: F-3 = 24 + (S - 3)
#2 At present the father is 5 times as old as the son: F = 5*S

How old will the son be three years from now?: S + 3 = ?
With two variables and two linear equations we are able to solve the problem:

(S*5) - 3 = 24 +S -3
4S=24
S = 6

S + 3 = 6 + 3 = 9

Re: Three years back, a father was 24 years older than his son. At present   [#permalink] 14 Feb 2016, 09:12
Display posts from previous: Sort by