Question

Денис задумал число, умножил его на 0,025 и к этому произведению прибавил 6,8. составив разность 11,5 и полученой суммы, в результате он получил число в 4 раза больше, чем 0,8. Какое число задумал Саша

Answer 1

11,5-(0,025х+6.8)=0.8*4

11.5-6.8-0.025=0.24.7-0.025х=3.2

0.025х=4.7-3.2

х=1.5:0.025

х=60

Answer 2

Solution:

Let's solve the problem step by step.

1. Let's assume the number Denis thought of is represented by x.

2. Denis multiplied this number by 0.025 and added 6.8 to the result, which gives us the expression: 0.025x + 6.8.

3. Then, he took the difference between 11.5 and the obtained sum and also the sum itself, which resulted in the equation: 11.5 - (0.025x + 6.8) and 11.5 + (0.025x + 6.8).

4. According to the problem, the difference between these two values is 4 times greater than 0.8.

5. We can represent the equation for the difference as: 11.5 - (0.025x + 6.8) - (11.5 + (0.025x + 6.8)) = 4 * 0.8.

6. Now, we can solve for x using the equation.

Let's calculate the value of x using the given information.