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Re: Number Line Classic: Craziet Number Line one I've seen [#permalink]
29 Jul 2003, 19:13
In an ordinary number line, Points P and T lie in line l. How many different points on l are twice as far from Point T as from point P?
Hint:Don't guess the obvious:ETS knows your tendencies.
Hint: this is like a stolyar problem:
how many solutions for X such that: |X - P| * 2 = |X - T|? _________________
AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993
PS: Looks to be an incomplete solution [#permalink]
30 Jul 2003, 08:47
Two is right, Mciatto, but I really think you can't rely on simple solutions for test day.
The key is there is a disguised algebraic formula in the stem .
How many different points on l are twice as far from Point T as from point P?
"When you see from" this implies subtract. So the distance from T - [b]X - Unknown point on number line=
2( P - Y[/b[b])
But, the problem with this solution is not every point fits the solution and we will have to keep searching.
Some of us will be lucky to come up with A(0), P(15), B( 20), and C( 30) for a combo that works out!