Question

The sum of the two 5 digit numbers ABC10 + ABC12 is 123422. What is A + B + C?

Answer 1

Answer:

14

Step-by-step explanation:

We are given with two $5\ digit$ numbers whose first $3 \ digits$ are same.

It is given that their sum is $123422$

adding the last two corresponding digits gives,

$0+2=2\\1+1=2$

Now adding the rest,

$C+C \ should\ be\ 14$ to get $4$

$1 \ carries\\B+B$ should not give anything to carry as that will make A in decimal to satisfy the addition.

Therefore,

$B+B \ has \ to \ be 1+1=2,+ 1 \ carry=3$

Thus $B= 1$

And finally,

$A+A=12\\A=6$

Thus $A=6, B=1 \ and \ C=7$

Now simplifying

$A+B+C\\=6+1+7\\=14$

Thus $14$ is the answer.