Some number was increased 4.5 times and then decreased by half of the original number.
| September 1, 2021 | education
Some number was increased 4.5 times and then decreased by half of the original number. After that, the number was 5.6 more than the original. Find the original number.
We write the initial value of the number as x.
After it was increased by 4.5 times, it was: 4.5 * x.
After reducing the resulting number by half, it was equal to: 4.5 * x / 2 = 2.25 * x.
We get the equation:
2.25 * x – x = 5.6.
1.25 * x = 5.6.
x = 5.6 / 1.25 = 4.48.
We check the solution.
4.48 * 4.5 = 20.16.
Find half.
20.16 / 2 = 10.08.
Determine the difference between the received and the initial value.
10.08 – 5.6 = 4.48.
Answer: The original number is 4.48.
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