Before solving for the answer, let's assign variables for the unknown ages of the two people.
Gabrielle's age can be represented as 'g,' and Mikhail's age can be represented as 'm.'
Now that we have the variables assigned, let's make the equations out of the given:
g = m + 6 ("Gabrielle is 6 years older than Mikhail"
g + m = 64 ("The sum of their ages is 64")
Let's input the value of 'g' into the equation 'g + m = 64'
(m + 6) + m = 64
Simplify:
2m + 6 = 64
Subtract 6 from both sides:
2m = 58
Divide both sides by 2;
m = 29
Mikhail is 29 years old.
Good luck, if you have any more questions, just ask :))
-T.B.