Gabrielle is 9 years older than mikhail. The sum of their ages is 67. What is mikhail’s age?

Answer 1

Let's use the variable m to represent Mikhail's age. Since Gabrielle is 9 years older than Mikhail, we write the following expression to represent Gabrielle's age: m + 9

The problem tells us that the sum of their ages is 67. Therefore we can write the following equation for the sum:

Mikhail's age + Gabrielle's age = 67

Then, using our variable expressions:

m + m + 9 = 67

Now use combining like terms and inverse operations to solve the equation:

m + m + 9 = 67

2m + 9 = 67

2m + 9 - 9 = 67 - 9

2m = 58

2m/2 = 58/2

m = 29 Mikhail is 29 years old

Gabrielle is 9 years older or 29 + 9 = 38 years old

The sum of their ages is 29 + 38 or 67 years.