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

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A student finds the average of 10 positive integers. Each [#permalink]  08 Oct 2003, 17:10
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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
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Re: PS : Digits [#permalink]  08 Oct 2003, 17:27
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.
Re: PS : Digits   [#permalink] 08 Oct 2003, 17:27
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