Answer:
Olga's age is 12
Step-by-step explanation:
Define variables: Let "a" be Olga's age and "b" be Alvin's age.
Translate the problem into equations:
Age relationship: We know Alvin's age is two times Olga's age, so b = 2a.
Sum of ages: We know the sum of their ages is 36, so a + b = 36.
Solve the system of equations: You can solve for "a" in two ways:
Substitution: Substitute the first equation (b = 2a) into the second equation: a + (2a) = 36 3a = 36 a = 36 / 3 a = 12
Direct substitution: Substitute the value of "a" you get from the first equation (a = 12) into the second equation: 12 + 2(12) = 36 12 + 24 = 36 36 = 36 (This confirms that a = 12 is the correct solution)
Conclusion: Therefore, Olga's age is 12 years old.
I hope this explanation was clear! I hope you vote me Brainliest! It would really help!
