If a and b are two natural numbers and if (a+b) is even,prove that (a-b) is also even
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If (a+b) is even then either both a and b will be even or both will be odd at the same time because the sum of an even number and an odd number is always odd.
We know that the difference of two even numbers or two odd numbers is always even so, b-a or a-b would also be even.
We know that the difference of two even numbers or two odd numbers is always even so, b-a or a-b would also be even.
tauseefwatto0:
These are the basics of Mathematics.
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Answer:
1st alternative:
Let us assume a,b as two even numbers 4 and 2
a = 4,b = 2
Then,
a+b=>4+2=6
a-b=>4-2=2
Here the results are even
OR
2nd alternative :
Let's assume a,b as two odd numbers
3 and 1
a = 3,b = 1
Then,
a+b=>3+1=4
a-b=>3-1=2
Here too the results are even
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