Math Is Fun Forum

juantheron

Member

Registered: 2011-10-19

Posts: 312

remainder

If 

is divided by

then the remainder is

, when

is divided by

remainder is

. what is the remainder when

is divided by

.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: remainder

Hi juantheron;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: remainder

hi juantheron and bobbym,

I get 104 too. 

This is how I did it.

The remainder is 104 when divided by 12d and only 23 when divided by d.

104 - 23 = 81.  So d must divide 81.  Possible values are 3, 9, 27 and 81.

Try d = 3.  12d = 36.  But 36 divides 104 so this rules out d = 3.

If d = 9,   take the 104 and divide it by 9.  There is a remainder of 5, not 23.  This rules out d = 9

d = 27 and d = 81 give 6d > 104 so the 104 cannot be further divided and lead to a remainder of 104

Bob

Last edited by Bob (2012-02-16 01:55:22)

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: remainder

Hi Bob;

That looks fine to me. Very good answer!

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.