Ann replaces letters in the calculation KCB + RA - TOO with some of the numbers from 1 to 9 and then calculates the result. The same letters are replaced by the same numbers and different letters by different numbers. What is the largest possible result she can get?
Ann replaces letters in the calculation KCB + RA - TOO with some of the numbers from 1 to 9 and then calculates the result. The same letters are replaced by the same numbers and different letters by different numbers. What is the largest possible result she can get?
Ann replaces letters in the calculation KAN - ROO + GA with some of the numbers from 1 to 9 and then calculates the result. The same letters are replaced by the same numbers and different letters by different numbers. What is the largest possible result she can get?
Give me answer
To find the largest possible result, we need to assign the largest numbers to the letters that will have the greatest impact on the calculation. Let's analyze the given calculation: KCB + RA - TOO
Since Ann can replace the letters with numbers from 1 to 9, we should assign the largest numbers to the letters that appear in the highest place value positions.
Let's start by assigning the number 9 to the letter with the highest place value, which is C. This will give us:
K9B + RA - TOO
Next, we assign the numbers 8 and 7 to K and B, respectively, since they appear in the second highest place value positions:
98B + RA - TOO
To maximize the result, we should assign the numbers 6 and 5 to R and A, respectively, since they appear after the letters C, K, and B:
98B + 65 - TOO
Finally, to maximize the result further, we assign the numbers 4, 3, 2, and 1 to T, O, O, and O, respectively:
98B + 65 - 431
Now we can calculate the result:
98B + 65 - 431 = 98B - 366
To maximize the result, we need to assign the largest possible number to B, which is 9:
989 - 366 = 623
Therefore, the largest possible result that Ann can get is 623.