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if the tens digit x and the units digit y of a positive

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Manager
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if the tens digit x and the units digit y of a positive [#permalink] New post 18 Oct 2006, 15:07
if the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 9 more than n. What is y in terms of x?

10-x
9-x
x+9
x-1
x+1
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Re: y in terms of x [#permalink] New post 18 Oct 2006, 16:05
lan583 wrote:
if the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 9 more than n. What is y in terms of x?

10-x
9-x
x+9
x-1
x+1


Well I thought of 12 and 21. so y=x+1

I only need to show 1 case to prove it right?
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 [#permalink] New post 18 Oct 2006, 17:31
10x + y = n
10y + x = n+9

Solve this equation x = (n-1)/11 and
y = (n+10)/11
= (n-1)/11 + 1
= x + 1
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 [#permalink] New post 18 Oct 2006, 17:38
E

1. Since the difference between the two numbers is less than 10, the difference between the tens digits must be 1 or 0. Since it cannot be 0, it is 1.

2. yx > xy. So y>x.

Combining 1 and 2, y = x+1
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 [#permalink] New post 18 Oct 2006, 18:22
E.

89 to 98. then u get hte answer.
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 [#permalink] New post 19 Oct 2006, 11:26
Original no. is xy . Number after interchanging is yx. Now as per the Q.
10x+y+9=10y+x
=> 9y=9x+9
=> y=x+1
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 [#permalink] New post 19 Oct 2006, 12:01
E - pick numbers such as 23 and 32
_________________

"Never let the fear of striking out get in your wayâ€

  [#permalink] 19 Oct 2006, 12:01
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