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Answer:
The sum of two even numbers is even and greater than the addends.
Step-by-step explanation:
Let 2n and 2m be two even numbers.
The sum of these numbers is
Use distributive property:
This number is even because 2 is its factor.
Note that
Thus, correct option is:
The sum of two even numbers is even and greater than the addends.
Answer:
The original fraction is .
Step-by-step explanation:
Given as :
Let The original fraction
where numerator = x
Denominator = y
<u>Now, The statement are</u>
The numerator exceed the denominator by 5
i.e numerator = 5 + denominator
Or, x = 5 + y ........1
<u>Again</u>
The numerator is decreased by 4 and the denominator is increased by 3, the resulting fraction is equal to 4/5.
So,
=
Or, 5 × ( x- 4 ) = 4 × ( y + 3 )
Or, 5 x - 20 = 4 y + 12
Or, 5 x = 4 y + 12 + 20
Or, 5 x = 4 y + 32 ........2
Solving equation 1 and 2
Putting the value of x from eq 1 into eq 2
So, 5 × ( 5 + y ) = 4 y + 32
Or, 25 + 5 y = 4 y + 32
Or, 5 y - 4 y = 32 - 25
i.e, y = 7
So, The denominator = y = 7
<u>Now,putting vale of y into eq 2</u>
So, 5 x = 4 × 7 + 32
Or, 5 x = 28 + 32
Or, 5 x = 60
∴ x =
i.e x = 12
So, The numerator = x = 12
So fraction =
Hence, The original fraction is . Answer