Answer:
18 y'all. Correct me if I'm wrong though.
Step-by-step explanation:
We are looking for Mikhail's age.
Mikhail's age =x
We are given that Gabrielle's age is three times Mikhail's age.
Gabrielle's age =3x
The sum of their ages is 72. We get the following.
Gabrielle's age + Mikhail's age = 72
3x + x = 72
4x = 72
x = 18
Mikhail's age is 48 years.
A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
Let Mikhail's age be x years ans Gabrielle's age be y years.
According to the given question.
Gabrielle's age is two times Mikhail's age.
⇒ y = 2x
Also,
x + y = 72
So, to find the values of x and y we will sove the system of equations by substitution method.
Now, substitute the value of y = 2x in x + y = 72.
[tex]\implies x + 2x = 72[/tex]
[tex]\implies 3x = 72[/tex]
[tex]\implies x = \frac{72}{3} \\\implies x = 24[/tex]
Therefore,
y = 2 × 24 = 48
Hence, Mikhail's age is 48 years.
Find out more information about system of equations and substitution method here:
https://brainly.com/question/14619835
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