Using three consecutive digits from 1 to 5, write the largest
and the smallest numbers. Find their sum. What is the
peculiarity of the sum?
Find out.
Answers
Answer:
Sum is
The peculiarity is that the sum is even.
Step-by-step explanation:
We are given consecutive numbers from .
The numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
We need to determine smallest and largest number, determine their sum and state the peculiarity.
The numbers are
Smallest number
Largest
Sum is
The peculiarity is that the sum is even.
Sum of smallest and largest numbers -
1 + 3 = 4
Sum of smallest and largest numbers -
2 + 4 = 6
Sum of smallest and largest numbers -
3 + 5 = 8
Peculiarity
- The sum of two odd numbers is always even
- The sum of two even numbers is always even.
GIVEN
Numbers from 1 to 5
TO FIND
The smallest and largest numbers and their sum.
SOLUTION
We can simply solve the above problem as follows -
According to the question it is given that we have to find any three consecutive numbers from 1 to 5.
Consecutive numbers are numbers that succeed each other in ascending order.
So three consecutive numbers from 1 to 5 can be-
- 1 2 3,
- 2, 3, 4
- 3, 4, 5
Considering consecutive numbers; 1, 2 and 3
Smallest number = 1
Largest number = 3
Sum of smallest and largest number = 1+3 = 4
Considering consecutive numbers, 2, 3 and 4
Smallest number = 2
largest number = 4
Sum of Smallest and largest number = 2+4 = 6
Considering consecutive numbers; 3, 4 and 5
Smallest number = 3
Largest number = 5
Sum of Smallest and largest number = 5 + 3 = 8
PECULIARITY
We can observe that when both numbers are even the sum is always even and when both numbers are odd the result is also an even number.
Hence,
Hence,
1 + 3 = 4
2 + 4 = 6
3 + 5 = 8
The sum of two odd numbers is always even
The sum of two even numbers is always even.
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