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Roy is now 4 years older than Erik and half of that amount

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Roy is now 4 years older than Erik and half of that amount [#permalink] New post 14 Feb 2010, 00:56
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Question Stats:

69% (03:01) correct 31% (01:49) wrong based on 64 sessions
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?

(a) 8
(b) 28
(c) 48
(d) 50
(e) 52
[Reveal] Spoiler: OA

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Re: Plzz! explain the answer [#permalink] New post 14 Feb 2010, 14:03
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AtifS wrote:
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy’s age multiplied by Iris’s age?

(a) 8
(b) 28
(c) 48
(d) 50
(e) 52

Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.


Roy is now 4 years older than Erik --> R=E+4
Roy is now ... half of that amount older than Iris --> R=I+\frac{4}{2}=I+2 (half of the amount of 4)
In 2 years, Roy will be twice as old as Erik --> R+2=2(E+2) (in 2 years for both Roy and Eric)

Then in 2 years what would be Roy’s age multiplied by Iris’s age --> (R+2)(I+2)=?

Solving: R=6 and I=4 --> (R+2)(I+2)=48

Answer: C.
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink] New post 11 Aug 2014, 02:18
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Roy .............. Erik ............ Iris

x+4 ................ x .................. x+2 .................. Current Ages

(Roy 4 yrs older than Erik & 2 yrs older than Iris)

Ages after 2 yrs

x+6 ................ x+2 .................. x+4

x+6 = 2(x+2) ........ Roy is twice the age of Erik

x = 2

Roy * Iris = 8 * 6 = 48

Answer = C
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Re: Plzz! explain the answer [#permalink] New post 14 Feb 2010, 01:28
r=e+4 -- 1st
4=i+2 .. 2nd

in 2 years
r+ 2 = 2 * (I+2) .. 3rd

solving 1st and 3rd equation we get r=6, i = 2, and using 2nd equation we get i=4

so in 2 years r=8 and i=6, product =48

C
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Re: Plzz! explain the answer [#permalink] New post 14 Feb 2010, 10:40
Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.
_________________

"Don't be afraid of the space between your dreams and reality. If you can dream it, you can make it so."
Target=780
http://challengemba.blogspot.com
Kudos??

Senior Manager
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User avatar
Joined: 20 Jan 2010
Posts: 278
Schools: HBS, Stanford, Haas, Ross, Cornell, LBS, INSEAD, Oxford, IESE/IE
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Kudos [?]: 140 [0], given: 117

GMAT Tests User
Re: Plzz! explain the answer [#permalink] New post 15 Feb 2010, 06:20
Bunuel wrote:
AtifS wrote:
Hmm! would you please! explain a bit how did u get 2nd & 3rd equations?
as if I take "If in 2 years, Roy will be twice as old as Erik" the n it means that
r+2=2e -- 2nd

and I didn't get these words "and half of that amount older than Iris" plzz! explain it.

Any help would be highly appreciated.


Roy is now 4 years older than Erik --> R=E+4
Roy is now ... half of that amount older than Iris --> R=I+\frac{4}{2}=I+2 (half of the amount of 4)
In 2 years, Roy will be twice as old as Erik --> R+2=2(E+2) (in 2 years for both Roy and Eric)

Then in 2 years what would be Roy’s age multiplied by Iris’s age --> (R+2)(I+2)=?

Solving: R=6 and I=4 --> (R+2)(I+2)=48



Thanks for explanation, Actually i couldn't get the equation with I otherwise I had solved other equations instead of this one

R=I+\frac{4}{2}=I+2 (half of the amount of 4)

looks like have to work on Word Problems.
thanks again and Kudos
couldn't get this part (half of the amount of 4)
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink] New post 10 Aug 2014, 18:26
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink] New post 20 Aug 2014, 12:16
I did this with back-solving and fortunately struck gold in the first attempt itself, i.e. testing with C.
Re: Roy is now 4 years older than Erik and half of that amount   [#permalink] 20 Aug 2014, 12:16
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