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Gabrielle's age is two times Mikhail's age. The sum of their ages is 66. What is Mikhail's age?

Gabrielle's age is two times Mikhail's age. The sum of their ages is 6666. What is Mikhail's age?

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Full solution

Q. Gabrielle's age is two times Mikhail's age. The sum of their ages is 6666. What is Mikhail's age?
  1. Define Mikhail's age: Let's call Mikhail's age MM. Then Gabrielle's age is 2M2M because she is twice as old as Mikhail.
  2. Calculate Gabrielle's age: The sum of their ages is 6666, so we can write the equation M+2M=66M + 2M = 66.
  3. Write sum equation: Combine like terms to get 3M=663M = 66.
  4. Combine like terms: Divide both sides by 33 to solve for MM, so M=663M = \frac{66}{3}.
  5. Solve for M: Calculate MM, which is 6666 divided by 33, so M=22M = 22.

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