Largely distinct

Number Theory Level 1

Find the largest 2-digit number such that all of the digits are distinct.

Details and assumptions

The number 012 012 is a 2-digit number (12), not a 3-digit number.

Digits are distinct if they are not equal.


The answer is 98.

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Arron Kau by Arron Kau

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3 solutions

First of all, we have been asked to write such a two digit number that is largest let us say its 99. Next what the question asks is the two digits should be distinct(different from each other) then its quite clear that the number can't be 99. But if we take 98,it satisfies both the conditions where its digits are different from each other.Therefore the answer is 98

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Mohammad Fiyaz
Feb 17, 2014

largest 2-digit number such that all of the digits are distinct is 98 that is answer.

as we konw that largest 2-digit number is 99 but the number 99 have same digit 9 and 9.

it means the number 99 does not have distinct digit. so it can't be answer.

Next 98 is second largest 2-digit number that having all distinct digit.

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Devesh Rai
Nov 3, 2013

THE 2 DIGIT NUMBER RANGES FROM 10 TO 99 (INCLUSIVE) SO THE LARGEST 2 DIGIT NUMBER IS 98.

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IN WHICH THE TWO DIGITS ARE ALSO DISTINCT

Devesh Rai - 7 years, 7 months ago

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