i am greater than 15 and less than 40.if you double me, i become a number that ends in 0.1/5 of me is equal to 5.

1/5 of me is equal to 5.

The whole of me equals ?

x/5=5

x=5*5=25

2*25=50

Exactly!

To solve this problem, let's break it down step by step:

Step 1: Identify the range of numbers that meet the given conditions.

You are given that the number you are looking for is greater than 15 and less than 40. So, we can narrow down the range of possible numbers to 16, 17, 18, ..., 38, 39.

Step 2: Find the number that when doubled, it becomes a number that ends in 0.

When a number is doubled, the last digit of the number will double as well. Since the doubled number must end in 0, the original number's last digit must be 0 divided by 2, which equals 0.

Looking at the range we identified in Step 1, the only number that ends in 0 is 20.

Step 3: Determine if 1/5 of the number is equal to 5.

To check if 1/5 of the number is equal to 5, we divide the number by 5 and see if the result is 5.

20 divided by 5 is indeed equal to 4, not 5. Therefore, 20 does not satisfy the second condition.

Step 4: Conclusion.

Since none of the numbers within the given range satisfy both conditions, there is no number that fulfills the given conditions simultaneously.