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# Suppose n is a two-digit positive integer with units digit 5

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Suppose n is a two-digit positive integer with units digit 5 [#permalink]  09 Sep 2018, 19:44
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Question Stats:

62% (01:38) correct 37% (02:09) wrong based on 8 sessions
Suppose $$n$$ is a two-digit positive integer with units digit 5, and tens digit u. Now, if $$E=\frac{(n^2-25)}{100}$$, then express E in terms of u.

A. $$u+1$$

B. $$u^2+1$$

C. $$u^2-u$$

D. $$u^2+u$$

E. $$u^2+u+1$$

Here is how I did it:
E
=(n^2-25)/100
=[(n+5)(n-5)]/100
=[(u+1)*10*(u-1)*10]/100
=(u+1)(u-1)
=u^2-1, which is not an choice so I don't know where I did wrong.
Intern
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Re: Suppose n is a two-digit positive integer with units digit 5 [#permalink]  10 Sep 2018, 10:50
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from the question, it can be said that n=10u+5.

now just plug it into the expression for E and then you'll get u^2+u after a little calculation.

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Re: Suppose n is a two-digit positive integer with units digit 5 [#permalink]  10 Nov 2018, 07:25
n = 10u+5
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Re: Suppose n is a two-digit positive integer with units digit 5 [#permalink]  16 Nov 2018, 18:08
saifee wrote:
from the question, it can be said that n=10u+5.

now just plug it into the expression for E and then you'll get u^2+u after a little calculation.

Re: Suppose n is a two-digit positive integer with units digit 5   [#permalink] 16 Nov 2018, 18:08
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