SOLUTION: A student was asked how old she is she said she knew her age is half her mothers, when asked about her mothers she said she is 5 years younger than her dad, she was asked about her

Question 1002164: A student was asked how old she is she said she knew her age is half her mothers, when asked about her mothers she said she is 5 years younger than her dad, she was asked about her dads age she said she only knew the sum of their ages which is 100. How old is the daughter, Mum and Dad
Found 2 solutions by Phandoff Richmond, MathTherapy:
Answer by Phandoff Richmond(1) (Show Source): You can put this solution on YOUR website!
Let their ages be (x)
Girls age =half(x), which x represent her mother
mothers age =x-5
dads age = total age - total sum of the ages of the girl and her mothers age.
therefore, total ages is 100
so, 1/2x + x - 5 + x = 100
x + 2x - 10 + 2x = 200
5x = 190
x = 38
.
. . Girls age is 1/2x
1/2(38) = 19yrs
Mothers age is = x-5
= 38-5
= 33yrs
Dads age is = 100 - (19 + 33)
= 100 - 52
= 47yrs
Answer by MathTherapy(10549) (Show Source): You can put this solution on YOUR website!

A student was asked how old she is she said she knew her age is half her mothers, when asked about her mothers she said she is 5 years younger than her dad, she was asked about her dads age she said she only knew the sum of their ages which is 100. How old is the daughter, Mum and Dad

Student's age:
Mother's age: 2(19), or
Father's age: 38 + 5, or
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