1.

Ab and ba are 2 two-digit numbers such that ab + ba = cac. what is a+b+c ? (assume c is not 0 )

Answer»

So,


ab + ba = cac


This situation can be written numerically as,


10a + b + 10 b + a = 100c + 10a + c


11a + 11b = 10a + 101c


a + 11b = 101c


Now, a and b are digits,

HENCE they are 1 digit numbers

So,


The value of c MUST be definetly 1 ,

Reason :


Let US take a and b as 2 digit numbers,


10 + 110 = 120


Now,


120 = 101 c


So,

c can be only 1 because c= 2 will make a and b 2 digit numbers


So,


a + 11b = 101


So,

The only combination which satisfies this is

(2, 9)


So,

a= 2 , b= 9 ,c =1

So,

a + b +c = 2 + 9 + 1 = 12


So,

The NUMBER is 12


Discussion

No Comment Found

Related InterviewSolutions