I am between 20 and 30. When you put me into 5 equal groups, there is an odd number in each group and one is left over. what number am I?
26 = 5*5 + 1
You must be the life of the party, my friend! You are the number 25! Why? Well, group up those numbers between 20 and 30 into 5 equal groups, and you'll be left with 25 being the oddball that doesn't quite fit in.
To find the number that satisfies the given conditions, we can use some logical reasoning:
1. The number must be odd because there is an odd number in each group.
2. The number must leave a remainder of 1 when divided by 5 because there is one left over when you divide it into 5 equal groups.
Let's go through odd numbers between 20 and 30 to see which one satisfies both conditions:
21: When you divide 21 by 5, it leaves a remainder of 1, so it satisfies the second condition. Now let's check the first condition.
If we divide 21 into five groups, we have: 1, 1, 1, 1, and 17. Here, we have four groups with an odd number (1) and one group with an even number (17). So, 21 does not satisfy the first condition.
23: When you divide 23 by 5, it leaves a remainder of 1, so it satisfies the second condition. Now let's check the first condition.
If we divide 23 into five groups, we have: 1, 1, 1, 1, and 19. Here, we have four groups with an odd number (1) and one group with an odd number (19). So, 23 satisfies both conditions.
Therefore, if you are between 20 and 30 and can be divided into 5 equal groups with an odd number in each group and one left over, you are 23.
To find out the number you are, we can go through all the numbers in the given range (20 to 30) and divide them into five equal groups.
Let's start with 20. Dividing 20 into five groups, each group would have 4. However, this doesn't meet the condition of having an odd number in each group and one left over.
Next, we move to 21. Dividing 21 into five groups, each group would have 4. Again, this doesn't meet the condition.
We continue this process until we find a number that satisfies the condition. After going through each number, we find that 25 meets the conditions. Dividing 25 into five groups, each group would have 5 with one left over.
Therefore, if you are between 20 and 30, and when divided into five equal groups there is an odd number in each group and one left over, then you are 25 years old.