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7 years ago, Samir was 3 times as old as Deepak.

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soumya1989
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7 years ago, Samir was 3 times as old as Deepak. [#permalink] New post   01 Sep 2014, 01:22
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7 years ago, Samir was 3 times as old as Deepak. In 4 years, Samir will be twice as old as Deepak. What is Deepak’s present age?




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soumya1989
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Re: GRE Math Challenge #4 [#permalink] New post   01 Sep 2014, 03:03
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Answer & Explanation


Present
Deepak: D + 7
Samir: 3D + 7

4 years from now
D's age: D+11
S's age: 2(D+11)

Now we just need to represent this with an equation. What is one more piece of information that we know that isn't represented by this table? Well, we know that people age at the same rate. So Samir's age 4 years from now will be 11 more than his age was 7 years ago. So we can write:

3D + 11 = 2(D + 11)
And then we can solve for D:
3D + 11 = 2(D + 11)
3D + 11 = 2D + 22
D + 11 = 22
D = 11


Then, remember that D = Deepak's age 7 years ago. So that means 11 + 7 = 18, his age now.
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Re: 7 years ago, Samir was 3 times as old as Deepak. [#permalink] New post   16 Dec 2019, 12:08
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Re: 7 years ago, Samir was 3 times as old as Deepak. [#permalink] New post   20 Jul 2022, 09:23
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Re: 7 years ago, Samir was 3 times as old as Deepak. [#permalink]
20 Jul 2022, 09:23
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