Question

Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Answer 1

Mikhail is 27

Explanation:

• Use 'm' to represent Mikhail's age
• Use g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.
• You know that both of their ages combined must equal 81. This can be represented by g + m = 81
• Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81
• Combine like variables and divide to get Mikhail's age.

**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.

Hope this helps!

Answer 2

27

Explanation:

Let g be Gabrielle's age and m be Mikhail's age.

We can turn the statements the problem gives us into mathematical expressions to help us solve.

Gabrielle's age is two times Mikhail's age:

g = 2m

The sum of their ages is 81:

g + m = 81

This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m =
`(81)/(3)`

m = 27

If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.