Question

После того как от числа отняли 1/10 , затем 1/4 остатка и ещё 1/5 следующего остатка , получилось 108. Найди первоначальное число, ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

108:3*4=144
144:9*10=160
ответ:160

Answer 2

Problem Analysis

To solve this problem, we need to find the initial number that, after subtracting 1/10, then subtracting 1/4 of the remainder, and finally subtracting 1/5 of the next remainder, results in 108.

Let's assume the initial number is x. We can set up the equation as follows:

x - (1/10)x - (1/4)((9/10)x) - (1/5)((3/4)(9/10)x) = 108

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

Solution

To solve the equation, we can simplify the expression on the left side and then solve for x.

x - (1/10)x - (1/4)((9/10)x) - (1/5)((3/4)(9/10)x) = 108

Simplifying the expression:

x - (1/10)x - (9/40)x - (27/200)x = 108

Combining like terms:

(200/200)x - (20/200)x - (45/200)x - (27/200)x = 108

(108/200)x = 108

Dividing both sides by (108/200):

x = 108 * (200/108)

x = 200

Therefore, the initial number is 200.

Conclusion

The initial number, after subtracting 1/10, then 1/4 of the remainder, and finally 1/5 of the next remainder, results in 108. The initial number is 200.