• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for \$49 worth of Veritas practice GMATs FREE

VERITAS PRACTICE GMAT EXAMS
Earn 10 Points Per Post
Earn 10 Points Per Thanks
Earn 10 Points Per Upvote

## Fraction problem

##### This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 29
Joined: 22 Mar 2009
GMAT Score:490

### Fraction problem

by tuscan21 » Fri Mar 27, 2009 4:42 am
A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3.
What is the sum of the numerator and denominator of the original fraction?

(A) 49
(B) 35
(C) 28
(D) 26
(E) 21

Legendary Member
Posts: 682
Joined: 16 Jan 2009
Thanked: 32 times
Followed by:1 members

### Re: Fraction problem

by Vemuri » Fri Mar 27, 2009 5:11 am
A certain fraction is equivalent to 2/5, i.e. 2x/5x, where x is any integer.
The question states that numerator is increased by 4 & denominator is doubled, i.e (2x+4)/(2*5x) = 1/3 ==> (2x+4)/10x = 1/3. Solving for x, we get x = 3. Substitute x in the orginial fraction & add the numerator value with denominator value, i.e. 2*3+5*3=21.

E is the answer. Hope this helps.

-------------------------------------------------
Earth Hour 2009
Vote Earth! Your light switch is your vote.
https://www.earthhour.org/home/
Last edited by Vemuri on Fri Mar 27, 2009 9:32 am, edited 1 time in total.

Master | Next Rank: 500 Posts
Posts: 345
Joined: 18 Mar 2009
Location: Sao Paulo-Brazil
Thanked: 12 times
GMAT Score:660

### Re: Fraction problem

by shibal » Fri Mar 27, 2009 6:48 am
Vemuri wrote:A certain fraction is equivalent to 2/5, i.e. 2x/5x, where x is any integer.
The question states that numerator is increased by 4 & denominator is doubled, i.e (2x+4)/(2*5x) = 1/3 ==> (2x+4)/10x = 1/3. Solving for x, we get x = 3. Substitute x in the orginial fraction & add the numerator value with denominator value, i.e. 2*3+5*3=21.

D is the answer. Hope this helps.

-------------------------------------------------
Earth Hour 2009
Vote Earth! Your light switch is your vote.
https://www.earthhour.org/home/
21 is (E) =P....

Legendary Member
Posts: 682
Joined: 16 Jan 2009
Thanked: 32 times
Followed by:1 members

### Re: Fraction problem

by Vemuri » Fri Mar 27, 2009 9:32 am
shibal wrote: 21 is (E) =P....
Thanks for correcting Shibal

• Page 1 of 1