Question

В первом числе,число десятков больше,чем единиц на 6. Второе число на 40 больше первого. Сумма первого и второго числаравна 226.чему равно первое и второе число???

Answer 1

Первое число х, второе х+40.
Уравнение х+х+40=226
2х=186
х=93. Первое условие в задаче в процессе решения не применяется.
Первое число 93, второе 93+40=133.

Answer 2

1) 226 - 40 = 186 - дважды первое число. 2) 186 : 2 = 93 - первое число. (9 - 3 = 6 - на 6 единиц число десятков больше) 3) 93 + 40 = 133 - второе число.

Answer 3

Problem Analysis

We are given two numbers, where the tens digit of the first number is 6 more than the units digit, and the second number is 40 more than the first number. The sum of the two numbers is 226. We need to find the values of the first and second numbers.

Solution

Let's assume the units digit of the first number is x. Then the tens digit of the first number is x + 6. Therefore, the first number can be represented as (x + 6)x.

According to the problem, the second number is 40 more than the first number. So the second number can be represented as (x + 6)x + 40.

The sum of the first and second numbers is 226. Therefore, we can write the equation:

(x + 6)x + (x + 6)x + 40 = 226

Simplifying the equation:

2x^2 + 12x + 40 = 226

Rearranging the equation:

2x^2 + 12x - 186 = 0

Now we can solve this quadratic equation to find the value of x.

Solving the Quadratic Equation

We can solve the quadratic equation using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 2, b = 12, and c = -186.

Substituting the values into the quadratic formula:

x = (-12 ± √(12^2 - 4 * 2 * -186)) / (2 * 2)

Simplifying the equation:

x = (-12 ± √(144 + 1488)) / 4

x = (-12 ± √(1632)) / 4

x = (-12 ± 40.5) / 4

Simplifying further:

x = (-12 + 40.5) / 4 or x = (-12 - 40.5) / 4

x = 28.5 / 4 or x = -52.5 / 4

x = 7.125 or x = -13.125

Since the units digit cannot be negative, we discard the negative value of x.

Therefore, the units digit of the first number is 7.

The tens digit of the first number is x + 6 = 7 + 6 = 13.

So the first number is 137.

The second number is (x + 6)x + 40 = (7 + 6)7 + 40 = 137 + 40 = 177.

Therefore, the first number is 137 and the second number is 177.

Answer

The first number is 137 and the second number is 177.