Math problem?

Question

Bill is now 60 and Hill is now 42. How many years ago was Bill's age equal to 12 less than twice Hill's age? Thank You

Answer 1

so this is how you solve it
x years ago
Bill was 60-x
Hill was 42-x.
Bill's age equal 12 less than twice Hill's age
60 - x = 2(42-x)-12
60 - x = 84 - 2x -12
60 - x = 72 - 2x
x = 12

Answer 2

x years ago, Bill was 60-x and Hill was 42-x. So...
Bill's age equal 12 less than twice Hill's age
60 - x = 2(42-x)-12
60 - x = 84 - 2x -12
60 - x = 72 - 2x
x = 12

Answer 3

let before x years Bill,s age equal to 12 less than twice Hill,s age
(60-x)=2(42-x)-12
60-x=84-2x-12
2x-x=84-12-60
x=12
then before 12 years
Bill,s age=60-12=48 years
Hill,s age =42-12=30 years

Answer 4

It's not exactly clear if you meant 12 less or 1/2 less. 12 less than twice Hill's age is 72 and Bill's not there yet, so I guess you mean 1/2.

1/2 less than twice Hill's age is 42. 60 - 42 = 18, therefore, it would be 18 years ago.

Answer 5

60 -x = 2(42-x) - 12
60 - x = 84 - 2x - 12
60 - x = 72 - 2x
x = 12

Check:
12 years ago, Bill was 48 and Hillary was 30. Twice 30 is 60, 12 less is 48. Voila!

Answer is 12 years ago.

Did you choose the names on purpose? Where does Chelsea fit into the equation?

Answer 6

B=60
H=42

B-X=(2 x [H - X]) - 12

60 - X = 2 x [42 - X] - 12
60 - X = 2 x 42 - 2X - 12
60 - X = 84 - 12 - 2X
60 - X = 72 - 2X
X + [60 - X] = X + [72 - 2X]
60 + [X - X] = [X - 2X] + 72
60 = X + 72
-72 + 60 = -72 + X + 72
-12 = X + [-72 + 72]
X = -12

12 years ago.

Answer 7

Let the answer be x.
So 60-x is 12 less than 2*(42-x), or 60-x=2(42-x)-12.

60-x=84-2x-12
60-x=72-2x
-x=12-2x
0=12-x
x=12

So the answer is 12.

Answer 8

12 years ago... Bill will be 48 and Hill will be 30.

Answer 9

b=60
h=42
x= # of years ago

b-x=2(h-x)-12
60-x=2(42-x)-12
60-x=84-2x-12
60-x=72-2x
-x+2x=72-60
x=12 so it was 12 years ago.

check
60-12=48
2(42-12)=2*30=60
60-12=48

Answer 10

60b - 42h = 2h - 12