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IESE School Moderator S
Joined: 11 Feb 2019
Posts: 264
Re: If x represents the sum of all the positive three-digit  [#permalink]

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3 digit number (pqr) can be written as 100p + 10q +r

Given: x is the sum of all possible number that cn be formed using digits a,b,c once in a 3 digit number:

x= (100a + 10b + c) + (100a + 10c + b) + (100b + 10c + a) + (100b + 10a +c) + (100c + 10b + a) + (100c + 10a +b)
x = 222 * (a+b+c)

Hence the largest number by which x will be divisible will be 222

Assumption method: Let three digits be 1,2,3

x = 123 + 213 + 132 + 312 + 231 + 321 = 1332 = 222 * 6
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NJ Re: If x represents the sum of all the positive three-digit   [#permalink] 28 May 2020, 13:05

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# If x represents the sum of all the positive three-digit   