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Solving Unknowns

The value of ...

Question

The value of a certain number becomes 48 if 12 is added to it and becomes 12 if 24 is subtracted from it. What is the number?

A

36

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B

30

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C

34

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D

38

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Solution

The correct option is A 36
Let us consider the number as b.
We know that the number becomes 48 if we add 12 to it, that is, b + 12 = 48.
36 + 12 = 48
We also know the number becomes 12 if we subtract 24 from it, let us check,
b - 24 = 12, for b=36
36 - 24 = 12

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