Mr. Smith is 81 years older than his grandson, Victor. In 3 years,
Mr. Smith will be four times as old as Victor. How old is Victor now?
A) 21 years old
B) 22 years old
C) 24 years old (Correct Answer)
D) 27 years old
Explanation:
Let v represent Victor’s age. Then Mr. Smith’s age would be represented by (v + 81.) Three years from now, Victor’s age will be (v + 3), and Mr. Smith’s age will be (v + 84). According to the problem, Mr. Smith’s age 3 years from now (v + 84) will be equal to 4 times Victor’s age 3 years from now (v + 3). As an equation this would be written: v + 84 = 4(v + 3). Solving for v yields the solution v = 24. Victor is now 24 years old.
Related Common Core State Standard: 8.EE.C.7
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