Question

Let \(x,y\) be integers such that \(10000 \leq x \lt 100000\), and \(y\) is obtained from \(x\) by removing the third digit. Determine all pairs \(x,y\) as above such that \(\frac{x}{y}\) is also an integer.

Answer 1

i just copy this question from a web, and really dont know the question asking because i cant read the latex. can you retype for me, @ganeshie8 what the question asking here :v

Answer 2

Suppose \(x\) is an five digit positive integer :
\[x = \overline{abcde}\]

Answer 3

remove the middle digit to get \(y\) :
\[y = \overline{abde}\]

Answer 4

clear so far ?

Answer 5

oh, okay i see now. thanks

Answer 6

You need to find all \(x\) such that \(\dfrac{x}{y}\) is am integer

Answer 7

that is the given question

Answer 8

waw, it is so hard for me. give me some hints :)