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Question
The sum of two consecutive even numbers is 74. Find the numbers.
Solution
Let one of the even numbers be x.
Then, the other consecutive even number is (x + 2).
According to the question:
x + (x + 2) = 74
or, 2x + 2 = 74
or, 2x + 2 − 2 = 74 − 2 [Subtracting 2 from both the sides]
or, 2x = 72
or, `(2x)/2=72/2` [Dividing both the sides by 2]
or, x = 36
Thus, the required numbers are x = 36 and x+ 2 = 38.
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