We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

Find a base 7 three-digit number which has its digits reversed when expressed in base 9.

 Mar 9, 2019

\(\text{let the number be }abc\\ 49a+7b+c = 81c+9b+a\\ 48a-2b=80c\\ c = \dfrac{24a-b}{40}\)


I'll let you figure out what the valid numbers are using the equation for c above.

Remember digits can only range from 0-6.

And of course digits have to be whole numbers.

 Mar 10, 2019

4 Online Users