Thread: Division Question

How many different solutions are there to this division? different letters stand for different digits and no number begins with zero.

JMO / UK = OK ( what are the numbers)

Originally Posted by nazz

How many different solutions are there to this division? different letters stand for different digits and no number begins with zero.

JMO / UK = OK ( what are the numbers)

One solution.
JMO = OK*UK
K cannot be one, because K^2 = 1 = O,. repetition is not allowed.
Let K = 2. Then O = 4
So 42* U2 = JMO.
Product is three digits. U cannot be 3,neither 2. So try one
So 42*12 = 504.
Try other combination, if possible.

Hello nazz

Originally Posted by nazz

How many different solutions are there to this division? different letters stand for different digits and no number begins with zero.

JMO / UK = OK ( what are the numbers)

I think the complete set of solutions is:

Grandad

Originally Posted by Grandad

Hello nazzI think the complete set of solutions is:

Grandad

In the last set there is a repetition which is not allowed.

Originally Posted by sa-ri-ga-ma

In the last set there is a repetition which is not allowed.

This is true! Strike that line from the solutions!

Grandad

thanks for all the replies, is there a way solving it by equations, instead of solving it by trials