• 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 Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

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

User avatar
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....

User avatar
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 :-)