Question

Знайти усі трицифрові числа, які зменшуються в 5 разів після викреслення першої цифри

Answer 1

100a+10b+c=5(10b+c)
100a-40b-4c=0
c=5,b=7,a=3  -  число 375
c=0,a=2,b=5  -  число 250

Answer 2

Finding Three-Digit Numbers Decreasing by Five Times After Removing the First Digit

To find three-digit numbers that decrease by five times after removing the first digit, we can follow a systematic approach to identify the suitable numbers.

1. Identifying the Pattern: - We need to find three-digit numbers that, when the first digit is removed, result in a number five times smaller than the original number.

2. Systematic Approach: - Let's denote the three-digit number as ABC, where A, B, and C are the hundreds, tens, and units digits, respectively. - According to the given condition, the number formed by the digits B and C should be five times smaller than the original number ABC.

3. Applying the Condition: - We can express this condition as the equation: 100B + 10C = 5 * (100A + 10B + C).

4. Solving for Suitable Numbers: - By iterating through the possible values of A, B, and C, we can find the three-digit numbers that satisfy the given condition.

5. Result: - After applying the condition and solving for suitable numbers, we can find the three-digit numbers that decrease by five times after removing the first digit.

Conclusion

By following this systematic approach, we can identify the three-digit numbers that decrease by five times after removing the first digit. This method allows us to efficiently find the specific numbers that satisfy the given condition.