Question

ПЛИЗ!!! СРОЧНО НАДО!!! Решите систему уравнений: AB+BA=121; A−B=1. Одинаковые буквы - это одинаковые цифры, разные буквы - разные цифры. Какой цифре соответствует буква B?

Answer 1

Ab = 65
ba =56 
ответ b =5

Answer 2

Solving the System of Equations

To solve the system of equations AB + BA = 121 and A - B = 1, we can use algebraic manipulation to find the value of the variable B.

First, let's express the given equations in a more suitable form for solving:

1. AB + BA = 121 2. A - B = 1

To solve for the value of B, we can use the fact that AB = BA to simplify the first equation.

Algebraic Manipulation

We can rewrite the first equation as: 2AB = 121

Now, we can solve for the value of AB: AB = 121 / 2 AB = 60.5

Finding the Value of B

Given that A - B = 1, we can express A in terms of B: A = B + 1

Substituting A = B + 1 into the equation AB = 60.5, we get: (B + 1)B = 60.5 B^2 + B - 60.5 = 0

Using the quadratic formula, we can solve for B: B = (-1 ± √(1^2 - 4*(-60.5)) / 2 B = (-1 ± √(1 + 242)) / 2 B = (-1 ± √243) / 2

The solutions for B are: B = (-1 + √243) / 2 and B = (-1 - √243) / 2

The value of B that satisfies the given conditions is the positive solution, which is approximately: B ≈ 7.45

Therefore, the digit corresponding to the letter B is approximately 7.