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# Algebra Anyone?

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Eternal Intern
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Algebra Anyone? [#permalink]  10 Jun 2003, 06:20
uestion
I think algebra is the easiest way to solve these: don't you think, I don't know I'm not a tutor.

a) If a 2-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. What is the original number?

b) R is the set of positive odd integers less than 50.

How many are in R ?
Manager
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a) I can't solve for a unique solution
b) this is 25
Manager
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I agree with anupag

a) can be 41, 52, 63, 74, 85, 96
b) 25
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Re: Algebra Anyone? [#permalink]  21 Feb 2008, 11:23
(1) 10p+q - (10q+p) = 27. Simplify to get p-q = 3. Any number of solutions possible.
(2) {1, 3, ..., 49}. This can be written as x = 2n-1. For n = 1, x = 1; n=2, x = 3;... n =25, x = 49.

So, that's that...
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Re: Algebra Anyone? [#permalink]  21 Feb 2008, 12:26
I agree with all the responses posted.
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Re: Algebra Anyone? [#permalink]  21 Feb 2008, 18:25
Curly05 wrote:
uestion
I think algebra is the easiest way to solve these: don't you think, I don't know I'm not a tutor.

a) If a 2-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. What is the original number?

b) R is the set of positive odd integers less than 50.

How many are in R ?

Please repost A. I get 10x+y - (10y+x) --> x-y=3

B: 50-1=49+1 = 50 thus 50/2 =25 thats how many odds there are.
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Re: Algebra Anyone? [#permalink]  21 Feb 2008, 20:06
agree with the responses.

for a, you cant get a unique solution based on teh information given. the most we can determine is that the digits differ by 3, so you can have 41, 52,30, etc.

for b, half of the integers will be even and half will be odd...
Re: Algebra Anyone?   [#permalink] 21 Feb 2008, 20:06
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