# Thread: Four digit integer, unable to solve, confusing

1. ## Four digit integer, unable to solve, confusing

A positive four digit integer abcd has the following properties
a>b>c>d
a=b+c
b=c-d
If M is highest possible value for abcd
What is the value of M?

2. ## Re: Four digit integer, unable to solve, confusing

It's not possible is it ?

If $b=c-d$ then $d=c-b$ but $b>c$ so $d$ is negative.

Do you mean $b=c+d$ ?

3. ## Re: Four digit integer, unable to solve, confusing

attraction signs

Did the given equation is true.Check the conditions.