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The age of Boris 5 years ago was half of the present age of Alex.

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The age of Boris 5 years ago was half of the present age of Alex.  [#permalink]

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New post 20 Sep 2018, 18:17
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The age of Boris 5 years ago was half of the present age of Alex. The present age of Cynthia is double of the age of Alex 10 years from the present. What is the difference between the ages of Boris 5 years ago and Cynthia 10 years from the present, if Cynthia was 55 years old 5 years ago?

A 15

B. 20

C. 55

D. 60

E. 70

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Re: The age of Boris 5 years ago was half of the present age of Alex.  [#permalink]

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New post 20 Sep 2018, 18:34
Say Current age of Boris or Boris(p) =x ==> Boris 5 yr ago or Boris(p-5) = x-5 ==> Alex(p)=2(x-5) ==>Alex(p+10)=2(x-5)+10=2x ==>Cynthya(p)=2*2x=4x
Cynthya(p-5)=4x-5=55 ==>x=15
We need |Boris(p-5) - Cynthya(p+10)| = |(x-5)-(4x+10)| = |(15-5)-(4*15+10)| = |10-70|=60 Ans D
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Re: The age of Boris 5 years ago was half of the present age of Alex.   [#permalink] 20 Sep 2018, 18:34

The age of Boris 5 years ago was half of the present age of Alex.

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