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# Marisol is twice as old as Vikram. Eight years ago, Marisol

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Marisol is twice as old as Vikram. Eight years ago, Marisol [#permalink]  14 Jun 2018, 14:30
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00:00

Question Stats:

88% (01:06) correct 11% (02:03) wrong based on 17 sessions
Marisol is twice as old as Vikram. Eight years ago, Marisol was 6 years younger than three times Vikram’s age at that time. How old will Marisol be in 5 years?

[Reveal] Spoiler: OA
49

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Sandy
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Re: Marisol is twice as old as Vikram. Eight years ago, Marisol [#permalink]  15 Jun 2018, 01:17
M=2V
M-8=3(V-8)+6

2V-8=3V-24+6
V=10
M=20 in 5 yrs M will be 25.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2921 [0], given: 394

Re: Marisol is twice as old as Vikram. Eight years ago, Marisol [#permalink]  05 Jul 2018, 01:56
Expert's post
Explanation

Write each sentence as its own equation:

$$M = 2V$$

$$(M - 8) = 3(V - 8) - 6$$

Simplify the second equation before substituting for M from the first equation into the second:

$$M - 8 = 3V - 24 - 6$$

$$M - 8 = 3V - 30$$

$$(2V) + 22 = 3V$$

$$22 = V$$

Thus, M = 44, and Marisol will be 49 years old in 5 years.

Check the answer. Eight years ago, Marisol was 36 and Vikram was 14. Three times Vikram’s age at that time was 42, and Marisol was 6 years younger than that.

Hence 49 is correct!
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Re: Marisol is twice as old as Vikram. Eight years ago, Marisol [#permalink]  10 Jul 2018, 03:11
We have system of equations: M=2V and (M-8)+6=3(V-8) -> 2V-2=3V-24 -> V=22 -> M=44 -> M+5=49.
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Re: Marisol is twice as old as Vikram. Eight years ago, Marisol   [#permalink] 10 Jul 2018, 03:11
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