SOLUTION: Uzma is 16 year old. Asma is one-fourth older then Uzma. How many years ago has it been since Asma was three times as old as Uzma?

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Question 982904: Uzma is 16 year old. Asma is one-fourth older then Uzma.
How many years ago has it been since Asma was three times as old
as Uzma?

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

I changed the numbers in your problem:

Uzma is 16 year old. Asma is one-fourth older then Uzma.
How many years ago has it been since Asma was three times as old
as Uzma?
`
Uzma is 16 year old.
U = 16

Asma is one-fourth older then Uzma.
A = U + U

Substitute U=16

A = 16 + (16)
A = 16 + 4
A = 20

How many years ago has it been since Asma was three times as old
as Uzma?
Let number of years ago  = y

Azma was A-y and Uzma was U-y

A - y = 3(U-y)

Substitute A=20, U=16

20 - y = 3(16-y)
20 - y = 48 - 3y
    2y = 28
     y = 14

Checking:  14 years ago Uzma was 2 and Azma was 6.
6 is three times 2.

Now you can do your problem.

Edwin

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