Question

jimmy's father's age is 6 years more than twice as jimmy's age. The product of their age is 360. How old is Jimmy?

Answer 1

f = 2j + 6

fj = 360

Answer 2

solve for f in terms of j and sub it into the other equation

Answer 3

Let jimmy's age be x.
So, his father's age = 2x + 6
x(2x + 6) = 360
2x^2 + 6x = 360
2x^2 + 6x - 360 = 0
Now, you can solve it using the quadratic formula.

Answer 4

Let Jimmy's age be x
Jimmy's father's age is x * 2 + 6
Therefore, x * x * 2 + 6 = 360
x * x * 2 = 360 - 6
2x * 2 = 354
x = (and now u can solve it)

Answer 5

one thing I never understood was why we would use a variable that is not indicative of the subjects of the problem :)

Answer 6

gary, that is not a product of the two ages

Answer 7

you have the +6 just being a spurious little klingon

Answer 8

yes, you have made a mistake.

Answer 9

ooooh yup i hv made a mistake...

Answer 10

When doing word problems like this there are key words to look for.
First we know we need two varables because we need Jimmy's father (F)
and Jimmy ( J )
Example of breaking the sentence down

jimmy's father's = f
is = equal sign
6 year more = +6
twice as jimmy's age = 2j
product of = Means to times
The product of their age = f x j = 360

Answer 11

Doodle, good job, but watch those variable; its bad form to define J and then use j in its place.

Answer 12

let jimmy's age be x
then his father's age is 2x+6
according to given condition
x(2x+6)=360
2x^2+6x=360
2(x^2+3x)=360
x^2+3x=180
x^2+3x-180=0
solve further by using quadratic formula