How do you find three consecutive even integers whose sum is 48?

Answer 1

#"1st Integer"=15#
#"2nd Integer"=16#
#"3rd Integer"=17#

Let's use #n# to represent an integer (whole number). Since we need three integers, let's define them like this:
#color(blue)(n)=#1st integer #color(red)(n+1)=#2nd integer #color(green)(n+2)=#3rd integer
We know we can define the second and third integers as #n+1# and #n+2# due to the problem telling us that the integers are consecutive (in order)

Now we can make our equation since we know what it's going to equal:

#color(blue)(n)+color(red)(n+1)+color(green)(n+2)=48#

Now that we've set up the equation, we can solve by combining like terms:

#3n+3=48#
#3n=45# #color(blue)(" ""Subtract " 3 " from both sides")#
#n=15# #color(blue)(" "45/3=15)#
Now that we know what #n# is, we can plug it back into our original definitions:
#color(blue)(n)=15# #color(blue)(" 1st Integer")# #color(red)(15+1)=16# #color(red)(" 2nd Integer")# #color(green)(15+2)=17# #color(green)(" 3rd Integer")#
#color(blue)(15)+color(red)(16)+color(green)(17)=48# #" True"#
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Answer 2

Let the three consecutive even integers be (x), (x + 2), and (x + 4). Their sum is 48.

[ x + (x + 2) + (x + 4) = 48 ]

Solve for (x).

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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.

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.

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.

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.

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