Question

Федя выбрал два трехзначных числа, у которых совпадают суммы цифр. От большего числа он отнял меньшее. Какое самое большое число мог получить Федя?

Answer 1

Какое самое большое число мог получить Никита? (а)792 (б)801 (в)810 (г)890 (д)900 
числа 901 и 109. Самое большее число 792 
так же можно 910-109=801.а значит число число 801

Answer 2

Solving the Problem

To solve this problem, we need to find two three-digit numbers where the sums of their digits are equal. Then, we'll subtract the smaller number from the larger number to find the maximum result.

Finding Two Three-Digit Numbers

Let's start by finding two three-digit numbers where the sums of their digits are equal.

From the search results, we can see that the sum of the digits of the two numbers is the same. This means that the two numbers have the same digital root, which is the remainder when the sum of the digits is divided by 9.

Digital Root and Three-Digit Numbers

The digital root of a number is found by repeatedly adding the digits together until a single-digit number is obtained. For example, the digital root of 345 is 3+4+5=12, and 1+2=3, so the digital root is 3.

Maximum Result

Now, we need to find the maximum result by subtracting the smaller number from the larger number.

Let's calculate the maximum result based on the information we have gathered.