SOLUTION: The daughter is half the age of the mother and the mother is 5 years younger than the father all the ages together equal 100. What is the age of the daughter mother and father??

Question 977424: The daughter is half the age of the mother and the mother is 5 years younger than the father all the ages together equal 100. What is the age of the daughter mother and father??
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make father's age = x
Mother's age is then x - 5
Daughter's age is (x - 5)/2
..................
x + x - 5 + (x - 5)/2 = 100
Multiply thr'out by 2
2x + 2x - 10 + x - 5 = 200
Collect like terms
5x - 15 = 200
5x = 200 + 15
5x = 215
x = 43.
Therefore the Father's age is 43 years
Mother's age is 38 years
Daughter's age is 19 years.
43 + 38 + 19 = 100.
Hope this helps:-)
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The daughter is half the age of the mother and the mother is 5 years younger than the father all the ages together equal 100. What is the age of the daughter mother and father??

Let daughter's current age be D
Then mother's currently: 2D
Father's currently: 2D + 5
Then, we have: D + 2D + 2D + 5 = 100
5D + 5 = 100
5D = 95
D, or daughter's current age = , or
Mother's current age: 2(19), or , or
Father's current age: 2(19) + 5, or 38 + 5, or
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