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The sum of Abbie's age and Iris's age is 42 years. 11 years

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The sum of Abbie's age and Iris's age is 42 years. 11 years [#permalink]

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The sum of Abbie's age and Iris's age is 42 years. 11 years ago, Abbie was three times as old as Iris. How old will Abbie be in 2 years?

Answer:
[Reveal] Spoiler:
28

Last edited by Bunuel on 02 Jan 2014, 04:43, edited 1 time in total.
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Re: The sum of Abbie's age [#permalink]

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The easiest and fastest strategy on "Age" questions like this is "Working Backwards." Some instructors call it back-solving. In other words, it's best to start with the answer choices and see which one works. Do you have answer choices for this question? If so, I'll illustrate how to use the strategy. I think you'll find it's much more efficient than trying to set up an algebraic solution!
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Re: The sum of Abbie's age [#permalink]

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New post 01 Jan 2014, 11:34
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Hello Scraby07..as someone in a post has mentioned that thsi kind of Qs can be solved by reverse plugging in..but that can be demonstrated if you can provide ans. choices also. :)

But this is a fairly simple Qs and here is the solution. Hope this helps.

Let's call Abbie's age as A and Iris's age as I.

So According to first statement of Qs. we have A+I=42....let's call it st1.

Next line states that"11 years ago, Abbie was three times as old as Iris".. Now this can be mathematically written as (A-11)=3 (I-11).. The catch here is that you have to subtract 11 from both their ages to get the desired equality.

Expanding .. (A-11)=3 (I-11)... we have A-11= 3I-33--> 3I-A=22...let's call it st. 2

Solving from st.1 and st2. we have I= 16.. and putting 16 back in st.1 we have A= 26..i.e. Abbie's current age..

So after 2 years.. Abbie will be 28.. :-D ... Hope this helps.. Cheers..



scraby07 wrote:
The sum of Abbie's age and Iris's age is 42 years. 11 years ago, Abbie was three times as old as Iris. How old will Abbie be in 2 years?

Answer: 28

Please solve this question
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Re: The sum of Abbie's age and Iris's age is 42 years. 11 years [#permalink]

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scraby07 wrote:
The sum of Abbie's age and Iris's age is 42 years. 11 years ago, Abbie was three times as old as Iris. How old will Abbie be in 2 years?

Answer:
[Reveal] Spoiler:
28


Similar "age" problems to practice:
today-rose-is-twice-as-old-as-sam-and-sam-is-3-years-younger-131477.html
jack-is-now-14-years-older-than-bill-if-in-10-years-jack-144435.html
age-problem-m03q13-74810.html
if-father-s-age-is-1-less-than-twice-the-son-s-age-what-is-126832.html
john-is-20-years-older-than-brian-12-years-ago-john-was-132135.html
8-years-ago-george-was-half-as-old-as-sarah-sarah-is-now-132076.html
in-ten-years-david-will-be-four-times-as-old-as-aaron-twen-104243.html
roy-is-now-4-years-older-than-erik-and-half-of-that-amount-90386.html
three-years-from-now-dathan-will-be-three-times-as-old-as-e-162041.html
if-mario-was-32-years-old-8-years-ago-how-old-was-he-x-year-164898.html

Hope this helps.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
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The sum of Abbie's age and Iris's age is 42 years. 11 years [#permalink]

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New post 24 Mar 2017, 10:00
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A+I = 42
A-11 = 3(I-11)

We need to find, A+2

I=42-A from the first eqn.

A-11 = 3(31-A), via substitution

A=26

A+2 = 28

28 is the desired result.

Whoops, I apologize for necro-posting. :oops:
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Re: The sum of Abbie's age and Iris's age is 42 years. 11 years [#permalink]

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New post 25 Mar 2017, 03:44
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Let Ages be A and I

A + I= 42

A-11= 3I-33


by solving simultaneously we get A=26 and add 2 years to it answer is 28.
Re: The sum of Abbie's age and Iris's age is 42 years. 11 years   [#permalink] 25 Mar 2017, 03:44
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