# Australian Maths Competition (1 Viewer)

#### Mongoose528

##### Member
How would you solve this algebraically: A nude number is a natural number of whose digits are a factor of the number. Find all 3 digit nude numbers where no digits are repeated.

Can't seem to make in roads :/

I can solve it case by case, but I want to know a quicker way of how to do it.
Bump.

#### jathu123

##### Active Member
Re: Westpac Maths Comp marathon

Hi can anyone solve question 27 of the 2013 Senior AMC paper. I have tried many different methods but just cannot get it to work. I've tried finding the ratio of the areas/solving the areas simultaneously and all that. Please someone help as I've been trying to figure it out for a fortnight now. Show Working
Refer to the previous posts
Here's a solution to one of them:

View attachment 34157

#### Mongoose528

##### Member
A bit of help on this question please, this is a bit of practice for the AIMO.

This is all the working I've managed to do

Last edited:

#### seanieg89

##### Well-Known Member
$\bg_white Hint: \\ If \triangle ABC is a triangle, and X is a point on the line segment BC with BX:CX=\lambda, then |\triangle ABX|:|\triangle ACX|=\lambda.$

#### Ashaaz

##### New Member
Australian Mathematics Competition

I was just wondering if anyone has past papers and answers for this competition as I would like to make an start to practicing for the test. Year 8

#### yo_yo

##### New Member
Anybody going to AMC?