Brain Teasers
Jack and Jill
Jack and Jill have grown up now, so much so that their ages add up to 64.
But Jill is confused as to how old each of them is. Jack gives her a clue: "I am 5 times as old as you were when I was as old as you are now."
Can you help Jill recall their ages correctly?
But Jill is confused as to how old each of them is. Jack gives her a clue: "I am 5 times as old as you were when I was as old as you are now."
Can you help Jill recall their ages correctly?
Hint
Jack is much older than Jill than you might think...Answer
Jack: 40 yrs. oldJill: 24 yrs. old
Explanation:
Let the present age of Jack be x and that of Jill be y. So, clearly, like everyone of you would have got: x+y=64.
The other equation is a bit tricky.
JACK JILL
y yrs. ?
(Their ages when Jack was the age that Jill is at present)
x yrs. y yrs.
(Their present ages)
Since we have moved back (x-y) yrs. to make Jack y yrs. old, to find the age of Jill at that time, we go back (x-y) yrs. from her present age. So, her age was y-(x-y) yrs. = 2y-x yrs.
Since Jack's present age is 5 times that age, x= 5(2y-x). Hence, we get the second equation.
Solving them, x=40 and y=24.
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Comments
Of course this really begs the question of why a ~24 year old Jack was frollicking in the hills with an ~8 year old Jill. Wasn't Jack interested in any ladies around his own age? The authorities should have been alerted!
Wow...major headache.
Nice One.
Nice One.
i was totoally stumped... i still AM but why would he be hanging out with her if hes that old?
Jack and Jill are cousins...
made my brain work
it was interesting.... u had to think..... i dont like thinking. it was common sense basically.... so it was pretty cool.
That was really very creatively made...
The language made it seem like a tounge twister in the beginning lol...
but great teaser, keep them coming!
i would give 9 on 10...
The language made it seem like a tounge twister in the beginning lol...
but great teaser, keep them coming!
i would give 9 on 10...
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