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# What is Ram’s age? (1) In 15 years Ram will be twice as old as Diana

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Math Expert
Joined: 02 Sep 2009
Posts: 64250
What is Ram’s age? (1) In 15 years Ram will be twice as old as Diana  [#permalink]

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30 Jul 2019, 22:26
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Difficulty:

15% (low)

Question Stats:

97% (01:06) correct 3% (00:24) wrong based on 30 sessions

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What is Ram’s age?

(1) In 15 years Ram will be twice as old as Diana would be
(2) Diana was born 5 years ago

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Re: What is Ram’s age? (1) In 15 years Ram will be twice as old as Diana  [#permalink]

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30 Jul 2019, 23:35
Bunuel wrote:
What is Ram’s age?

(1) In 15 years Ram will be twice as old as Diana would be
(2) Diana was born 5 years ago

Let Ram's age be r years

(1) In 15 years Ram will be twice as old as Diana would be
r+15 = 2 (d+15) where d is Diana's present age
Since d is unknown
NOT SUFFICIENT

(2) Diana was born 5 years ago
d=5
No relation is provided between d & r
NOT SUFFICIENT

Combining (1)&(2)
(1) In 15 years Ram will be twice as old as Diana would be
r+15 = 2 (d+15)
(2) Diana was born 5 years ago
d=5
r+15=2*20
r=25 years
Ram's age is 25 years

IMO C
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Re: What is Ram’s age? (1) In 15 years Ram will be twice as old as Diana  [#permalink]

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07 Aug 2019, 02:25
We are supposed to find out Ram’s present age.

Problems on Ages are one of the most common ones drawn from the topic of word problems. This is because they require you to choose variables, form equations and then solve them.
So, let’s do exactly that, here in this question.

Let the present ages of Ram and Diana be R and D respectively.

From statement I, we get two more variables i.e. R+15 and D+15. Statement I also says R+15 = 2(D+15).
This means we have ONE independent equation with two unknowns, which means that we will not be able to solve for a unique value of the variables.

Statement I alone is insufficient to find out a unique value for Ram’s age. Answer options A and D can be eliminated. Possible answer options are B, C or E.

Statement II alone tells us the present age of Diana but nothing about the relationship between Ram’s age and Diana’s. This is clearly insufficient, answer option B can be eliminated.

Combining statements I and II, we have the value of D from statement II and a relationship between R and D. Using both, we can obtain a unique value for R.
The combination of statements is sufficient.

The correct answer option is C.

Hope this helps!
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Re: What is Ram’s age? (1) In 15 years Ram will be twice as old as Diana   [#permalink] 07 Aug 2019, 02:25