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Tim is 3 Times older than his brother Danny who is 6 then How old will Tim be when Danny is half his age?
Tim would be 24 when Danny is 12.
We derive this from noting that if Tim is three times older than his six year old brother, then Tim is 18 while Danny is 6. When Tim is 21, Danny will be 9. When Tim is 24, Danny will be 12, and 12 is half of 24.
One may also note that if Tim is 18 while Danny is 6, then Tim was 12 when Danny was born. By the time Danny lives as long as Tim already has, Tim will be twice as old (24), meaning Danny is half his age(12). This method does not require guess and check.
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