Question 741103
Let x = Olivia's age........Then Emma's age = .5x + 10

The sum of their ages is 31: so, X + .5X + 10 = 31

Next, solve for X.

x + .5x +10 = 31
1.5x + 10 = 31
1.5x = 21
x = 21 / 1.5
x = 14..................This is Olivia's age.

To find Emma's age: we must do the following: .5x + 10 = .5(14) + 10 = 17

So, Emma is 17 years old.