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number puzzle

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bobobalde111 | 08:46 Tue 25th Jul 2006 | Quizzes & Puzzles
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lend me a pound said jill
youve got twice as much as i have

not likely jack replied then ud have only one and a half times as much as you

how much did jack have
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�10
Too early for me bob. I was still in the shower at 07.46! Method of solution given below:

If Jill has �X and Jack has �Y, then ... 2X = Y

After borrowing, we would have 1.5 ( X + 1 ) = Y - 1

Eliminating Y, we get ... !.5 ( X + 1) = 2X - 1
which when doubled gives ... 3 ( X + 1 ) = 4X - 2

This has solution X = 5 (so Y = 10) as Trojanfarce rightly states.

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