Two consecutive odd integers add up to 76. What are the numbers?

Answer 1

#76=color(green)(37+39)#

If the first odd integer is #color(red)(n)# then the second odd integer will be #color(blue)(n+2)# and there sum will be #color(white)("XXX")color(red)(n) + color(blue)(n+2)=76#

#color(white)("XXX")rarr 2n+2=76#

#color(white)("XXX")rarr 2n=74#

#color(white)("XXX")rarr n=37#

So the two numbers are #color(red)(n=37)# and #color(blue)(n+2=39)#

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Answer 2

Avery Alexander

Let the first odd integer be x. The next odd integer is x + 2. The sum of the two integers is 76. Therefore, x + (x + 2) = 76. Solve for x: 2x + 2 = 76. x = 37. The numbers are 37 and 39.

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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.