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Nat2105 [25]
2 years ago
12

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

Mathematics
2 answers:
Darya [45]2 years ago
8 0

Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>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:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

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

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

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

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

vaieri [72.5K]2 years ago
3 0

Answer:

Mikhail is 27

Step-by-step 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!

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