Question

Sam and Harry are family. Sam is currently six times Harry's age. Sam's age is also 12 more than four times Harry's age. The following system of equations models this scenario:

x = 6y
x = 12 + 4y

What are their current ages?

Sam is 48 years old, and Harry is 8 years old.
Sam is 42 years old, and Harry is 7 years old.
Sam is 36 years old, and Harry is 6 years old.
Sam is 30 years old, and Harry is 5 years old.

Answer 1

Answer 3, Sam is 36 years old, and Harry is 6 years old.

Explanation:

Here, x is Sam's age and y is Harry's age. You can plug each option's numbers, but only when Sam is 36 and Harry is 6 do you get a true equation. 36 = 12 + 4(6), 36 = 12 + 24, 36 = 36.