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Director
Joined: 16 May 2014
Posts: 590
Given Kudos: 0
GRE 1: Q165 V161
7 years ago, Samir was 3 times as old as Deepak.
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01 Sep 2014, 01:22
01 Sep 2014, 01:22
2
1
Expert Reply
00:00
Question Stats:
90% (01:09) correct
10% (01:55) wrong based on 40 sessions
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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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Director
Joined: 16 May 2014
Posts: 590
Given Kudos: 0
GRE 1: Q165 V161
Re: GRE Math Challenge #4
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01 Sep 2014, 03:03
01 Sep 2014, 03:03
2
Expert Reply
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.
Re: 7 years ago, Samir was 3 times as old as Deepak.
[#permalink]
16 Dec 2019, 12:08
16 Dec 2019, 12:08
Expert Reply
Bump for further discussion
