How Old is Jack in the Jak and Jill Maths Problem?

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SUMMARY

In the discussion regarding the age of Jack in the "Jak and Jill Maths Problem," it is established that Jill is currently 22 years old. The problem states that when Jill was one third of Jack's current age, Jack was one year older than Jill was when he was half her current age. The mathematical formulation provided by users leads to the conclusion that Jack's age can be derived through a series of equations based on their ages at different points in time.

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  • Study algebraic manipulation techniques
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This discussion is beneficial for students, educators, and anyone interested in solving mathematical word problems, particularly those involving age calculations and algebraic reasoning.

888eddy
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when Jill was one third as old as Jack is now, Jack was one year older than Jill was when Jack was half as old as Jill is now. Jill is 22, how old is her brother Jack?

this is irritating me and i am set to waste a lot of time unless i find out how its worked out soon.
 
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888eddy said:
when Jill was one third as old as Jack is now, Jack was one year older than Jill was when Jack was half as old as Jill is now. Jill is 22, how old is her brother Jack?

this is irritating me and i am set to waste a lot of time unless i find out how its worked out soon.

Maybe writing it like this might help
Jill(to)=22
Jill(Jack(to)/3)+1=Jack(Jill(to)/2)

Jill(t)=22+(t-to)

Therefore

22+(Jack(to/3))-to+1=Jack(11)

Jack=Jack(to)+(t-to)

Solve for Jack(to)
 
Hey there,

John Creighto has knocked it on the head. However, in words, consider the sentences separately with respect to how old they used to be at a simple point in time, e.g. when Jill was younger (a third of Jack now), what is the equation that gives the age of Jack at that same point in time. Then you can equate the two.

The Bob
 

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