Question

In a three digit number, the units digit is the sum of
the other two digits and it exceeds the tens digit by as
much as the latter exceeds the hundreds digit. How
many such three digit numbers exist?​

Answer 1

Answer: 3

Step-by-step explanation:let digits be a b c

then c=a+b .....(i)

and c-b=b-a

      a+c=2b

 b=(a+c)/2.....(ii)

from ( i) and (ii) c=a+(a+c)/2

                         c=3a

                         b=2a

so number is a 2a 3a

where a can be 1,2 ,3 as a,2a ,3a are digits

so three such numbers