Question

One half of a number is 3 more than one-sixth the same number. What is the number?

Answer 1

`(x)/(2) = (x)/(6) + 3`


`3x= x+18`


`2x=18`


`x=9`

Answer 2

1/2 of a number(1/2 times x) is (=) 3 more than (3+) 1/6 the same number (1/6 times x)

1/2x=3+1/6x
x/2=3+x/6
subtract x/6 from both sdies
x/2-x/6=3
x/2-x/6
x/2 times 3/3=3x/6
3x/6-x/6=2x/6=x/3
x/3=3
multiply both sides by 3
x=9

9 is the number