Minimum Absolute Difference

Level pending

Find the smallest positive integer a a such that the equation 189 x + 45 y = a 189x + 45y = a has some solution for x , y ∈ Z x,y \in \mathbb{Z}


The answer is 9.

Josh Rowley by Josh Rowley , 24, United Kingdom

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Jubayer Nirjhor
Feb 4, 2014

Using Bézout's Lemma , the answer is:

gcd ⁡ ( 189 , 45 ) = 9 \gcd (189,45)=\fbox{9}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...