SOLUTION: emma is 10 years older than half Olivias age. If the sum between emmas age and Olivias age is 31 How old is Emma?

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Question 741103: emma is 10 years older than half Olivias age. If the sum between emmas age and Olivias age is 31 How old is Emma?
Answer by only4christ2(12) About Me  (Show Source):
You can put this solution on YOUR website!
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.