Can \[5\] odd numbers be added to get \[30\]?
Answer
549.6k+ views
Hint: To solve this question first we assume five odd numbers then we add all those in pairs and check whether the number is even or odd and then again we add those numbers and again check that number is even or odd. At last, add that number to the answer and again check and check whether the number is even or odd and then compare to the given number
Complete step-by-step answer:
Let us assume any \[5\] numbers the whole sum is nearby \[30\].
If we add two numbers then we get an even number.
If we add one odd number and one even number then we get an odd number.
So in this question, we have to add \[5\] odd numbers. So first we make two pairs and keep one of the singles.
The sum of both the paired numbers are even and a last number is an odd number.
We know that the sum of two even numbers is also an even number.
So the sum of both the paired sum is an even number and the last is an odd number.
Now, the sum of an even number and an odd number is an odd number.
So we can’t add \[5\] odd numbers to get \[30\] because we get an odd number and 30 is an even number.
Final answer:
if we add \[5\] odd numbers then we get an odd number and in question, \[30\] is given which is an even number.
Note: Although this question is very easy you must know which number is obtained if we add two odd numbers or if we add two even numbers and if we add one odd number and one even number. You must know the relation with the higher number of numbers that which type of number we get on adding all those.
Complete step-by-step answer:
Let us assume any \[5\] numbers the whole sum is nearby \[30\].
If we add two numbers then we get an even number.
If we add one odd number and one even number then we get an odd number.
So in this question, we have to add \[5\] odd numbers. So first we make two pairs and keep one of the singles.
The sum of both the paired numbers are even and a last number is an odd number.
We know that the sum of two even numbers is also an even number.
So the sum of both the paired sum is an even number and the last is an odd number.
Now, the sum of an even number and an odd number is an odd number.
So we can’t add \[5\] odd numbers to get \[30\] because we get an odd number and 30 is an even number.
Final answer:
if we add \[5\] odd numbers then we get an odd number and in question, \[30\] is given which is an even number.
Note: Although this question is very easy you must know which number is obtained if we add two odd numbers or if we add two even numbers and if we add one odd number and one even number. You must know the relation with the higher number of numbers that which type of number we get on adding all those.
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