A number theory problem by Syed Hamza Khalid

Number Theory Level 4

If the last digit of this number becomes the first digit, the resulting number is exactly twice as large as. My number is the smallest number with this property. What is my number?

Hints:

  1. Try to set up a multiplication method.
  2. This number is 18 digits long! So take care before answering.


The answer is 105263157894736842.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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

Syed Hamza Khalid
Oct 19, 2017

→ → → This is a proof that this 18 digit number is the smallest number: \huge \color{#20A900}\to \to \to \text{This is a proof that this 18 digit number is the smallest number:}

→ → → Therefore the answer is 105263157894736842 \huge \color{#D61F06}\to \to \to \text{Therefore the answer is} \color{magenta} \boxed{105263157894736842}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...