i am a four -digit number with no two digits the same. my ones digit is twice my thousands digit and one less than my tens digit. my hundreds digit is the difference between my tens digit and my thousands digit. my thousands digit is an odd number less than 6.

what number am i?

i think i have posted it but i can't see it on the site
???

3426

let the number be abcd

given:
d=2a
d=c-1 ------>c=d+1
b=c-a
a<6 and odd, so a = 1,3,or5
no two digits are the same

rule out a=5 because then d=10, not possible

let a=1, then
d=2
c=3
b=2, but that would be two digits the same

let a=3, then d=6
c=7
b=4
the number is 3476

thanks

3476 makes sense!

1 answer

3476