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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]

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14 Feb 2010, 01:56
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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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14 Feb 2010, 02:28
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

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14 Feb 2010, 11:40
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.
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14 Feb 2010, 15:03
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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 $$I=4$$ --> $$(R+2)(I+2)=48$$

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15 Feb 2010, 07:20
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]

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10 Aug 2014, 19:26
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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11 Aug 2014, 03:18
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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

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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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20 Aug 2014, 13:16
I did this with back-solving and fortunately struck gold in the first attempt itself, i.e. testing with C.
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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21 Nov 2015, 22:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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23 Nov 2015, 02:55
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

Since we have been given everything in terms of the of Erik, Let us assume the age of Erik to be E
And, the term " half of that amount" refers to the value 4.

Attachment:

Erik age.JPG [ 13.97 KiB | Viewed 5497 times ]

E + 6 = 2E + 4
E = 2
Therefore, (Roy's age)* (Iris's age) = 8*6 = 48 Option C
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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18 Feb 2016, 11:58
Folks

interpreted the Q stem incorrectly

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

'half of that amount' -- I interpreted as r= i+ 1/2(e+4)

How do i know half of that amount means - half of '4 years older'
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Re: Roy is now 4 years older than Erik and half of that amount [#permalink]

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18 Oct 2016, 09:40
We can derive the following equations:

R=4+E --> (2 years later) --> R+2=2(E+2) solves to give E=2 & R=6 --> (2 years down the road) --> R = 8
R=2+I --> I = 4 -->(2 years later) --> I=6

6x8 = 48
Re: Roy is now 4 years older than Erik and half of that amount   [#permalink] 18 Oct 2016, 09:40
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