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The sum of two consecutive even numbers is 38. What is the larger number?

Answer 1

Julia Adams

#18,20#

let the smaller number be#2n#

then then larger one is #2n+2#

#2n+2n+2=38#

#4n+2=38#

4n=36#

:.n=9#

Next, the two numbers are

#2n=2xx9=18#

and

#2n+2=18+2=20#

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Answer 2

Avery Alexander

Let ( x ) represent the smaller even number. Since the two consecutive even numbers are consecutive, the larger even number would be ( x + 2 ). According to the given information, the sum of the two numbers is 38. So, we can set up the equation ( x + (x + 2) = 38 ). Now, solve for ( x ), the smaller even number, and then find the larger even number by adding 2 to ( x ).

( x + (x + 2) = 38 )

( 2x + 2 = 38 )

( 2x = 36 )

( x = 18 )

So, the larger even number is ( x + 2 = 18 + 2 = 20 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.