Question

Одне з чисел на 31 більше від другого. Якщо суму цих чисел поділити на більше з цих чисел, то неповна частка буде дорівнювати 1, а остача дорівнюватиме 14. Знайти ці числа.​

Answer 1

Пошаговое объяснение:

х + 31

"х + (х + 31)

(х + (х + 31)) / (х + 31) = 1 + 14/ (х + 31)

4 = 1 * (х + 31) + 14

14 = х + 31 + 14

14 - 14 = х + 31

0 = х + 31

х = -31

Менше число = х = -31

Більше число = х + 31 = -31 + 31 = 0

Таким чином, менше число дорівнює -31, а більше число дорівнює 0.

Answer 2

Problem Analysis

We are given two numbers, where one number is 31 greater than the other. When we divide the sum of these numbers by the larger number, we get a quotient of 1 and a remainder of 14. We need to find these two numbers.

Solution

Let's assume the smaller number is x. According to the problem, the larger number is 31 more than the smaller number, so it can be represented as x + 31.

We are given that when we divide the sum of these numbers by the larger number, we get a quotient of 1 and a remainder of 14. Mathematically, this can be represented as:

(x + x + 31) ÷ (x + 31) = 1 with a remainder of 14

To solve this equation, we can start by simplifying the left side:

2x + 31 ÷ (x + 31) = 1 with a remainder of 14

Since the remainder is 14, we can write the equation as:

2x + 31 = x + 31 + 14

Now, let's solve for x:

2x + 31 = x + 45

Subtracting x from both sides:

x + 31 = 45

Subtracting 31 from both sides:

x = 14

So, the smaller number (x) is 14.

To find the larger number, we can substitute the value of x into the expression x + 31:

x + 31 = 14 + 31 = 45

Therefore, the larger number is 45.

Answer

The smaller number is 14 and the larger number is 45.

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