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Today, Anna is ten years older than Michelle. If fifteen years ago..

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Today, Anna is ten years older than Michelle. If fifteen years ago..  [#permalink]

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New post 20 Sep 2018, 08:32
1
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A
B
C
D
E

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Question Stats:

79% (01:03) correct 21% (01:56) wrong based on 24 sessions

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Today, Anna is 10 years older than Michelle. If fifteen years ago, Anna was twice as old as Michelle, how old is Michelle today?

a) 20
b) 22
c) 25
d) 28
e) 30

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Re: Today, Anna is ten years older than Michelle. If fifteen years ago..  [#permalink]

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New post 20 Sep 2018, 08:36
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bettatantalo wrote:
Today, Anna is 10 years older than Michelle. If fifteen years ago, Anna was twice as old as Michelle, how old is Michelle today?

a) 20
b) 22
c) 25
d) 28
e) 30

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A = 10 + M--------------------------------->(I)
A - 15 = 2(M - 15)------------------------->(II)

Substitute the value of A

10 + M - 15 = 2M - 30

M = 40 - 15

Thus, Michelle is 25 Years now, answer must be (C)
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Re: Today, Anna is ten years older than Michelle. If fifteen years ago..  [#permalink]

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New post 20 Sep 2018, 08:46
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Top Contributor
bettatantalo wrote:
Today, Anna is 10 years older than Michelle. If fifteen years ago, Anna was twice as old as Michelle, how old is Michelle today?

a) 20
b) 22
c) 25
d) 28
e) 30


There's also the option of testing the answer choices. In many cases, it can be the fastest approach.

A) 20
If Michelle is 20 years old TODAY, then Anna is 30 years old TODAY (since she's 10 years older than Michelle)
So, 15 YEARS AGO, Michelle was 5 years old and Anna was 15 years old
This does NOT meet the given condition that Anna was twice as old as Michelle 15 YEARS AGO
Eliminate A

B) 22
If Michelle is 22 years old TODAY, then Anna is 32 years old TODAY (since she's 10 years older than Michelle)
So, 15 YEARS AGO, Michelle was 7 years old and Anna was 17 years old
This does NOT meet the given condition that Anna was twice as old as Michelle 15 YEARS AGO
Eliminate B

C) 25
If Michelle is 25 years old TODAY, then Anna is 35 years old TODAY (since she's 10 years older than Michelle)
So, 15 YEARS AGO, Michelle was 10 years old and Anna was 20 years old
This DOES meet the given condition that Anna was twice as old as Michelle 15 YEARS AGO

Answer: C

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Re: Today, Anna is ten years older than Michelle. If fifteen years ago.. &nbs [#permalink] 20 Sep 2018, 08:46
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