Question

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

Answer 1

14

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.