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Re: Marisol is twice as old as Vikram. Eight years ago, Marisol
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05 Jul 2018, 01:56
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!