Question

Найдите два двузначных числа, если известно, что сумма остальных двузначных чисел в 50 раз больше одного из этих двух чисел. В ответ запишите сумму этих чисел.

Answer 1

Сумма всех двухзначных чисел 99*50-9*5=4905.Надо,чтобы разность этого числа и искомой суммы делилась на 50.Легко понять, что числа 95 и 60 их сумма 155.
 

Answer 2

Problem Analysis

We are given that the sum of all two-digit numbers is 50 times larger than one of the two-digit numbers. We need to find two two-digit numbers and calculate their sum.

Solution

Let's assume the two two-digit numbers are x and y. According to the given information, the sum of all two-digit numbers is 50 times larger than one of these numbers. Mathematically, we can represent this as:

x + y = 50 * x

Simplifying the equation, we get:

y = 49 * x

To find two two-digit numbers that satisfy this equation, we can try different values for x and calculate the corresponding value of y. Let's start with x = 10 and calculate y:

y = 49 * 10 = 490

So, one possible pair of two-digit numbers is x = 10 and y = 490. The sum of these numbers is:

x + y = 10 + 490 = 500

Therefore, the sum of the two two-digit numbers is 500.

Conclusion

The sum of the two two-digit numbers that satisfy the given condition is 500.