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# A student finds the average of 10 positive integers. Each

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CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 925 [0], given: 781

A student finds the average of 10 positive integers. Each [#permalink]

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08 Oct 2003, 18:10
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A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?

1) 8
2) 6
3) 2
4) 4

Kudos [?]: 925 [0], given: 781

Intern
Joined: 29 Aug 2003
Posts: 47

Kudos [?]: 2 [0], given: 0

Location: Detroit, MI

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08 Oct 2003, 18:27
praetorian123 wrote:
A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?

1) 8
2) 6
3) 2
4) 4

Ans: 2 - Option 3

Say, sum of the 9 correct numbers is S

So, (S + (10a + b))/10 - (S + (10b + a))/10 = 1.8
=> 9a - 9b = 18
=> a - b = 2.

Kudos [?]: 2 [0], given: 0

Re: PS : Digits   [#permalink] 08 Oct 2003, 18:27
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