SOLUTION: the ratio of the ages of jack and jill is 4:3. the product of the ages is 432. what will be the ratio of the ages after 18 years?

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Question 891151: the ratio of the ages of jack and jill is 4:3. the product of the ages is 432. what will be the ratio of the ages after 18 years?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio of the ages of jack and jill is 4:3.
:
Find their present age
let x = the multiplier
then
4x = Jack's age
and
3x = Jill's age
:
the product of the ages is 432.
4x*3x = 432
12x^2 = 432
x^2 = 432/12
x^2 = 36
x = sqrt%2836%29
x = 6 is the multiplier
then
4 * 6 = 24 yrs is jack's age
3 * 6 = 18 yrs is Jill's age
:
what will be the ratio of the ages after 18 years?
%28%2824%2B18%29%29%2F%28%2818%2B18%29%29 = 42%2F36 = 7%2F6
7:6 ratio after 18 yrs