Question

Задумали число, увеличили его на 65% и получили 33. Какое число задумали? help me, please!

Answer 1

1) 100-65=35% было
2)33:100×35=11,55
Ответ: 11,55 было

Answer 2

Problem Analysis

To solve this problem, we need to find the original number that was increased by 65% to obtain the result of 33. Let's denote the original number as "x".

Solution

We can set up the following equation based on the given information:

x + 65% of x = 33

To solve for x, we need to convert 65% to its decimal form, which is 0.65. The equation becomes:

x + 0.65x = 33

Combining like terms:

1.65x = 33

Dividing both sides of the equation by 1.65:

x = 33 / 1.65

Simplifying:

x = 20

Therefore, the original number that was increased by 65% to obtain 33 is 20.

Verification

Let's verify our solution by substituting the value of x back into the equation:

20 + 0.65 * 20 = 33

20 + 13 = 33

33 = 33

The equation holds true, confirming that our solution is correct.