We can use substitution to solve for their ages.
From the first equation, we know that x (Sam's age) is 5 times y (Harry's age).
Substitute x = 5y into the second equation:
5y = 10 + 3y
Subtract 3y from both sides:
2y = 10
Divide both sides by 2:
y = 5
Now that we know Harry is 5 years old, we can use the first equation to find Sam's age:
x = 5y = 5(5) = 25
Therefore, Sam is currently 25 years old and Harry is currently 5 years old.
Sam and Harry are family. Sam is currently five times Harry's age. Sam's age is also 10 more than three times Harry's age. The following system of equations models this scenario:
x = 5y
x = 10 + 3y
What are their current ages?
1 answer