jack is 3 times as old as Jill but in three years time he will only be twice as old how old are jack and jill
Answers
Jack is 9, Jill is 3. In 3 years jack will be 12, Jill will be 6. 12 is 6 doubled!
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Jill is 3 years old and Jack is 9 years old.
Given : Jack is 3 times as old as Jill but in three years he will only be twice as old.
To find : The present ages of Jack and Jill.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required ages)
Let, the present age of Jill = x years
So, the present age of Jack = (3 × x) = 3x years
After 3 years :
- Age of Jill = (x+3) years
- Age of Jack = (3x+3) years
According to the data mentioned in the question,
3x+3 = 2 × (x+3)
3x+3 = 2x+6
3x-2x = 6-3
x = 3
Present age of Jill = x years = 3 years
And,
Present age of Jack = 3x years = (3 × 3) years = 9 years
Hence, Jill is 3 years old and Jack is 9 years old.