ExplanationWrite 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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