SAT math

Algebra Level 1

If A is the least positive 5-digit integer with non-zero digits, none of which are repeated, and B is the greatest of such positive integers (5-digit integer with non-zero digits, none of which are repeated), then B - A =


The answer is 86420.

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Dante Dahabreh by Dante Dahabreh , 30, USA

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3 solutions

Dante Dahabreh
Jul 12, 2014

By the definition. A must be 12345 (smallest 5 digit number with no zeros and no repeated digits) and B must be 98765. (Largest digit according to the definition) So the answer is 98765 - 12345 = 86420

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But the question says B must be largest of "such +ve integers" I.e. the digits of which A is formed right or I may be wrong ......

Gaurav Jee - 6 years, 10 months ago

What does such positive integers mean? The greatest positive number formed by the same integers that formed least integer meaning 12345 is the least and 54321 isn't the greatest number formed by same integers,this is just a doubt ,please clarify it.

Rajanikanth Reddy - 6 years, 10 months ago

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I see what you mean. when it says "SUCH positive integers" its meant to not be the same numbers used but SUCH as the same definition! Sorry for the confusion

Dante Dahabreh - 6 years, 10 months ago

this question was confusing since I did get 12345 as the least positive 5 digit integer but I thought B referred to the number 5 as the greatest of those integers. I did not think that B was another 5 digit positive integer which if that was clearer I could have gotten the correct answer.

Scott Loden - 6 years, 8 months ago

"None of which is repeated".

I thought the patterns shouldn't be repeating. I mean, I thought of 98979 instead of 98765.

Or maybe I'm just terrible. :P

Adam Zaim - 6 years, 8 months ago

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It is not you, it is them

Effren Hernandez - 6 years, 1 month ago
Swapnil Vaidya
Sep 13, 2014

smallest 5 digit no. without repetition is 12345 i.e. A and that the largest is 98765 i.e. B therefore B-A=98765-12345 =86420

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Hon Ming Rou
Sep 4, 2014

A = 12345

B = 98765

B-A = 86420

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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