Question

Задуманное число было увеличено в 4 р ,полученное значение произведения уменьшили на 128 ,результат умножили на 13 и получили число 52 .Какое число было задуманно?

Answer 1

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Answer 2

Problem Analysis

To solve this problem, we need to work backwards from the given information. Let's break down the steps:

1. The unknown number was increased by 4. 2. The resulting value was decreased by 128. 3. The result was then multiplied by 13. 4. The final result is 52.

Let's denote the unknown number as 'x' and go through the steps one by one.

Step 1: Increase the unknown number by 4

The unknown number 'x' is increased by 4, so the new value is 'x + 4'.

Step 2: Decrease the resulting value by 128

The resulting value from step 1, 'x + 4', is decreased by 128. So the new value is '(x + 4) - 128'.

Step 3: Multiply the result by 13

The value from step 2, '(x + 4) - 128', is multiplied by 13. So the new value is '13 * ((x + 4) - 128)'.

Step 4: The final result is 52

The value from step 3, '13 * ((x + 4) - 128)', is equal to 52. So we have the equation '13 * ((x + 4) - 128) = 52'.

Now, let's solve this equation to find the value of 'x'.

Solving the Equation

To solve the equation '13 * ((x + 4) - 128) = 52', we can follow these steps:

1. Simplify the equation: '13 * (x - 124) = 52'. 2. Divide both sides of the equation by 13: 'x - 124 = 4'. 3. Add 124 to both sides of the equation: 'x = 128'.

Therefore, the unknown number 'x' is equal to 128.

Conclusion

The unknown number that was initially chosen is 128.