NR

+ RN

_______

ABC

The addition problem above is correct. If N, R, A, B, and C are different digits, what is the greatest possible value of B+C?

Printable View

- Jul 17th 2006, 09:31 PMJudiaddition
NR

+ RN

_______

ABC

The addition problem above is correct. If N, R, A, B, and C are different digits, what is the greatest possible value of B+C? - Jul 17th 2006, 09:39 PMmalaygoelQuote:

Originally Posted by**Judi**

N+R is a two digit number.

B=C+1

We have to find max. value of C

since N and R are different

N=9, R=8

C=7,B=8,A=1

Answer is 15

Keep Smiling

Malay - Jul 18th 2006, 07:23 AMSorobanSorry, Malay . . .
Hello, Judi!

Quote:

Code:`1 2 3`

N R

+ R N

-----

A B C

If N, R, A, B, and C are different digits,

what is the greatest possible value of ?

In column-1, we see thatCode:`1 2 3`

N R

+ R N

-----

1 B C

In column-3, we see that ends in

In column-2, we see that ends in

Then and there is a "carry" to column-2

. . where we have:

For maximum , let

. . But we find that this results in duplicated digits.

For we have:Code:`N 9`

+ 9 N

-----

A B C

But we get:

. . (If , then )

Hence, neither nor can be

The next largest sum occurs for: and we have:Code:`8 7`

+ 7 8

-----

1 6 5

- Jul 18th 2006, 08:20 AMmalaygoel
I made a mistake: Duplicate Values....Sorry

Keep Smiling

Malay - Jul 18th 2006, 08:31 AMJudi
thanks...