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If the sum of two consecutive even numbers is 32, find the numbers.

Mathematics GK by Pathshala Nepal
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If the sum of two consecutive even numbers is 32, find the numbers.


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Solution:

Let, the smaller even number be x. Then the consecutive greater even number will be x + 2.

Now, according to the question,

x + (x + 2) = 34
Or, 2x + 2 = 34
Or, 2x = 34 -2 
Or, 2x = 32
Or, x = 32/2 
Or, x = 16,
Then, x + 2 = 16 + 2 = 18 

∴ The two required consecutive even numbers whose sum is 34 are 16 and 18.

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