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Question

The sum of two consecutive even number is $$86$$. The larger of two is

A
$$46$$
B
$$36$$
C
$$38$$
D
$$44$$
Solution
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Correct option is D. $$44$$
Because,
Let the two consecutive even numbers be $$x$$ and $$(x + 2)$$
$$= x + (x + 2) = 86$$
$$= x + x + 2 = 86$$
$$= 2x + 2 = 86$$
$$= 2x = 86 - 2$$
$$= 2x = 84$$
$$= x = 84 / 2$$
$$= x = 42$$
The larger number is $$(x + 1) = 42 + 2 = 44$$

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