Number Properties

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N:Dure: Master | Next Rank: 500 Posts; Posts: 181; Joined: Sat Oct 16, 2010 1:57 pm; Thanked: 4 times

by N:Dure » Mon Jan 03, 2011 5:50 am

X is a two-digit number. The digits of X differ by 6 and their squares differ by 60.

Which is bigger?

A) X
B) 60

When you solve this, you'll get that the first no. is 8 and 2nd is 2, making the number 82. The OA however says it can be 82 or 28...is he treating 6 as an absolute value? cause 2-8 isn't = 6

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Source: Beat The GMAT — Problem Solving | Mon Jan 03, 2011 5:50 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Jan 03, 2011 6:13 am

N:Dure wrote:When you solve this, you'll get that the first no. is 8 and 2nd is 2, making the number 82. The OA however says it can be 82 or 28...is he treating 6 as an absolute value? cause 2-8 isn't = 6

The problem says they "differ" by...
Difference between two number is equal to (larger - smaller) and thus always positive.
For example in this case, difference of 2 and 8 is same as difference between 8 and 2 and equal to 6. Thus whenever you have to represent the difference between two number x and y as an equation, you must write their difference as |x - y| as you don't which one is larger.

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Balrog1978: Senior | Next Rank: 100 Posts; Posts: 32; Joined: Thu Dec 14, 2006 4:33 am; Thanked: 1 times

by Balrog1978 » Mon Jan 03, 2011 8:51 am

So the Number could be 82 and 28 thus we don't know which in this case?

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