Question 26400: Mandy is now twice Katy's age. In six years she will be 1.5 times Katy's age.
How old is Katy
Answer by Paul(988)   (Show Source):
You can put this solution on YOUR website! Since Mandy is twice as old as cathy, you know that there is one variable to consider, because due supportment.
Kathy's age = x
Mandy's age = 2x
In six years Kathy's age = x+6
In six years Mandy's age = 2x+6
And since she will be 1.5 the quanity of Kathy in SIX years we write.
1.5(x+6) Expression 1
And Mandy herself is 2x+6 Expression 2.
Expression 1 = Expression 2.
1.5(x+6)=2x+6
1.5x+9=2x+6
0.5x=3
x=6 -----> Kathy's age.
2(6)=12 --> Mandy's age.
Check: Kathy's age in 6 years = 6+6=12
Mandy's age in 6 years = 12+6=18
And 12*1.5=18
or 18/1.5=12
Hence, Kathy is 6 years old, and Mandy is 12 years old.
Paul.
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