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Marisol is twice as old as Vikram. Eight years ago, Marisol
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14 Jun 2018, 14:30
14 Jun 2018, 14:30
Expert Reply
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Question Stats:
76% (01:12) correct
23% (02:22) wrong based on 34 sessions
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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?
Show: :: OA
49
Re: Marisol is twice as old as Vikram. Eight years ago, Marisol
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15 Jun 2018, 01:17
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.
M-8=3(V-8)+6
2V-8=3V-24+6
V=10
M=20 in 5 yrs M will be 25.
Re: Marisol is twice as old as Vikram. Eight years ago, Marisol
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05 Jul 2018, 01:56
05 Jul 2018, 01:56
Expert Reply
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!
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!
