Question

Помогите прошу !!! СРОЧНО . 1. Первое слагаемое составляет 2 / 3 суммы и на 45 больше второго слагаемого . Найдите слагаемые . 2. Первое слагаемое равно 45 , а второе составляет 2 / 3 суммы двух слагаемых . Найдите сумму . 3. Вычитаемое составляет 2 / 3 уменьшаемого , а их разность равна 45 . Найдите уменьшаемое и вычитаемое . ЗАРАНЕЕ СПАСИБО !!!

Answer 1

Вот решение 1/3х+45=2/3х. Х- сумма

Answer 2

Task 1: Finding the Summands

To find the summands, we can use the given information that the first summand is 2/3 of the sum and 45 more than the second summand.

Let's denote the first summand as x and the second summand as y. We can form the following equations based on the given information: 1. x = 2/3 * (x + y) (The first summand is 2/3 of the sum) 2. x - y = 45 (The first summand is 45 more than the second summand)

Solving these equations will give us the values of x and y.

Solution:

1. Using the first equation, we can express x in terms of y: - x = 2/3 * (x + y) - x = 2/3x + 2/3y - 1/3x = 2/3y - x = 2y

2. Substituting the value of x in the second equation: - 2y - y = 45 - y = 45

3. Calculating the value of x using the derived value of y: - x = 2 * 45 - x = 90

Answer:

The summands are: - The first summand is 90 - The second summand is 45

Task 2: Finding the Sum of Two Summands

To find the sum of the two summands, we can use the given information that the first summand is 45, and the second summand is 2/3 of the sum of the two summands.

Let's denote the first summand as x and the second summand as y. We can form the following equation based on the given information: 1. x = 45 (The first summand is 45) 2. y = 2/3 * (x + y) (The second summand is 2/3 of the sum of the two summands)

Solving this equation will give us the sum of the two summands.

Solution:

1. Using the second equation, we can express y in terms of x: - y = 2/3 * (x + y) - y = 2/3x + 2/3y - 1/3y = 2/3x - y = 2x

2. Substituting the value of x in the first equation: - x = 45

3. Calculating the value of y using the derived value of x: - y = 2 * 45 - y = 90

4. Finding the sum of the two summands: - Sum = x + y - Sum = 45 + 90 - Sum = 135

Answer:

The sum of the two summands is 135.

Task 3: Finding the Minuend and Subtrahend

To find the minuend and subtrahend, we can use the given information that the subtrahend is 2/3 of the minuend, and their difference is 45.

Let's denote the minuend as x and the subtrahend as y. We can form the following equations based on the given information: 1. y = 2/3 * x (The subtrahend is 2/3 of the minuend) 2. x - y = 45 (The difference between the minuend and subtrahend is 45)

Solving these equations will give us the values of x and y.

Solution:

1. Using the first equation, we can express y in terms of x: - y = 2/3 * x

2. Substituting the value of y in the second equation: - x - (2/3 * x) = 45 - (3/3)x - (2/3)x = 45 - (1/3)x = 45 - x = 45 * 3 - x = 135

3. Calculating the value of y using the derived value of x: - y = 2/3 * 135 - y = 90

Answer:

The minuend is 135, and the subtrahend is 90.