Q. 73.6( 9 Votes )

A 3-digit number 4A3 is added to another 3-digit number 984 to give four digit number 13B7, which is divisible by 11. Find (A + B).

Answer :

Given, a 3-digit number 4A3

And a 3-digit number 984


Both the numbers are added to get a four-digit number 13B7


And 13B7 is divisible by 11.



By observation we get A + 8 = B


B-A = 8


Since, 13B7 is divisible by 11 to know its divisibility we have to subtract sum of odd placed numbers and sum of even placed numbers


We get,


(7 + 3)-(B + 1) = 9-B = 0


B = 9


Solving, B in B-A = 8 we get


9-A = 8


A = 9-8


A = 1


Hence, A = 1, B = 9 and (A + B) = 10


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