Dieofantine pulobem (me not no how to spel)

Level 2

Does a four-digit integer (abcd) exist in that:

$b$ is 4 times $c$

$c$ is 5 times $d$

$a$ is 2 plus $d$

If it exists, type it in. Otherwise, type 1234.

2 solutions

X X
Aug 12, 2018

Since $b=20d$ , we have $d=0=c=b=a-2$ , so the integer is $2000$

It's just a pun

Palla Tan - 2 years, 10 months ago

Oh, I didn't notice that was a pun. Ha, ha!

X X - 2 years, 10 months ago

Palla Tan
Aug 12, 2018

If one remembers correctly, zero is still considered an integer.

B,C and D are only possible because of this rule, so they're all zeroes. A is just 2+0, which is 2.