A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?

Answer 1

#n = 9#

First, let's give a name to the number we are looking for and call it #n#.

So we can then write "A number is divided by 3" as #n/3#

To add #5# to the quotient would then give us the expression #n/3 + 5#

If this results in #8# we can finally write the equation we are trying to solve and solve the equation for #n# while keeping the equation balanced:

#n/3 + 5 = 8#

#n/3 + 5 - 5 = 8 - 5#

#n/3 + 0 = 3#

#n/3 = 3#

#3 * n/3 = 3 * 3#

#1n = 9#

#n = 9#

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Answer 2

Jace Anderson

Let the number be x. According to the given conditions, the equation formed is (x / 3) + 5 = 8. Solving this equation, we find that x = 9. Therefore, the number is 9.

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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.