Two less than 4 times a number is the same as the number plus 34. Find the number?

Answer 1

The required number is #12#.

To solve the problem first define a variable for the required number. Let's say, #n# is our required number.

Then, based on the provided statement, we have:

#4x-2=x+34#
Add #2# to both sides:
#4x-2+2=x+34+2#
#4x=x+36#
Subtract #x# from both sides:
#4x-x=x+36-x#
#3x=36#
Divide both sides by #3#:
#\frac{3x}{3}=\frac{36}{3}#
#x=12#

And that's it!

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Answer 2

The number is #12#

Create an expression for each of the two equal parts that the phase "is the same as" divides the sentence into.

Let ' the number' be #x#
#4# times the number : #4x#
Two less than that means: #color(blue)(4x-2)#
The number plus #34# is written as #color(red)(x+34)#

There is no difference between these two expressions.

#color(blue)(4x-2)" = "color(red)(x+34)#
#4x -x = 34+2#
#3x =36#
#x =12#

Check:

#color(blue)(4x-2)" = "color(red)(x+34)#
#color(blue)(4(12)-2)" = "color(red)((12)+34)#
#color(blue)(46)" = "color(red)(46)#
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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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