I'm thinking of a number if you add half of this number to a sixth of this number you will get 12. What is the number

Question

step by step 

Answer 1

call the number x

 

half of this number is x/2

added to a sixth of this number is +x/6

is 12 means =12

 

x/2 +x/6 = 12

 

multiply everything by 6 to clear the fractions

 

6(x/2 + x/6) = 6(12)

6(x/2) + 6(x/6) = 72

3x + x = 72

4x = 72

x = 72/4

x =18

 

check: x/2 + x/6 = 12

          18/2 + 18/3 =12

          9 + 3 = 12

          12 =12

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