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Old 08-11-2008, 05:08 AM
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Default I have several questions.

a is positive integer and b<13,


\dfrac{a.b-b}{a}=7

What is biggest value of b?

Last edited by OPETH; 08-11-2008 at 06:59 AM.
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Old 08-11-2008, 06:13 AM
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Originally Posted by OPETH View Post
a is positive integer and b<13,


\dfrac{a.b-b}{a}=7

What is biggest value of b?
\frac{ab-b}{a}=7 re-arranges into b = \frac{7a}{a-1}.

The graph of b versus a is a hyperbola. Draw a graph and you'll see that the largest value of b that satisfies b < 13 and a is a positive integer is b = 21/2 corresponding to a = 3.
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Old 08-11-2008, 06:43 AM
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Default


b = \frac{7a}{a-1}


and

if a=8

b = \frac{7.8}{8-1} ,

b = \frac{56}{7}

b = 8

Thank you help.
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Old 08-11-2008, 06:50 AM
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Default

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Originally Posted by OPETH View Post
b = \frac{7a}{a-1}


and

if a=8

b = \frac{7.8}{8-1} ,

b = \frac{56}{7}

b = 8

Thank you help.
So b was also required to be an integer ....
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Old 08-11-2008, 07:06 AM
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Default

a.b-c=4

b.c-a=3

in equality, a, b, c are positive integers.

What is total of a+b+c minumum?
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Old 08-11-2008, 07:08 AM
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Originally Posted by OPETH View Post
a.b-c=4

b.c-a=3

in equality, a, b, c are positive integers.

What is total of a+b+c minumum?
Do not add a new question to an existing thread. Make a new thread.
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Old 10-02-2008, 08:51 AM
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Sorry since we don't have the possible answers we just can quess what b might be
b/(b-7)=a
a can go to extreme and so b can go to extreme as well
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