Problema Solution

The sum of the digits of a three-digit number is 13. The hundred's digit is two more than the tens' digit, and the tens' digit is four more than the units' digit. Find the number.

Answer provided by our tutors

as given 

suppose think that the tree digit be xyz

now  x+y+z=13

and x= a

       y= 4+a as tens digit is 4 more than ones unit

        z=2+y as hundreds digit is two more than tens digit.

now take 

x= 1 then 

y=4+1=5:      y=5

z=2+5=7;       z=7

now xyz=157= 1+5+7=13