SOLUTION: The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?

Algebra.Com
Question 58381: The sum of Jamie's age and Devon's age is 30. Ten years ago the product of their ages was 24. If Jamie is younger than Devon, what are their ages?
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
The sum of Jamie's age and Devon's age is 30. 
Ten years ago the product of their ages was 24. 
If Jamie is younger than Devon, what are their ages? 


J + D = 30
(J-10)(D-10) = 24

Solve that by substitution. That is

1. Solve the first equation for either letter.
2. Substitute the expression obtained for that letter 
   in the 2nd equation.
3. Solve the resulting equation for the remaining letter.
4. Substitute that in the equation obtained in step 1.
5. Solve for the other letter.

There are two solutions: (D,J) = (14,16), (D,J) = (16,14)
Since we are told that Jamie is younger, we discard the 
first. So the answer is Jamie is 14 and Devon is 16.

Checking:  The sum of their ages is 14+16 or 30.
Ten years ago, Jamie was 4 and Devon was 6, and 4×6 = 24.

Edwin


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
d = Devon's age
j = Jamies age






use the formula






j = 16,14

if j = 16, then d = 14
if j = 14, then d = 16
The problem said Jamie was younger than Devon, so
Jamie is 14 and Devon is 16

RELATED QUESTIONS

Okay here is my question... The sum of Jamie's age and Devon's age is 30. Ten years... (answered by stanbon)
Jamie is 4 years younger than her brother. 5 years from now, the sum of their ages will... (answered by nerdybill)
Jamie is 4 years younger than her brother. Five years from now, the sum of their ages... (answered by stanbon)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic,MathTherapy)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by ankor@dixie-net.com)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic)
Devin is 51 years younger than Jamie. 7 years ago Jamie’s age was 4 times devins age.... (answered by ikleyn,hoomanc)
the sum of ages of two sisters is 38years.four years ago the age of the elder sister was... (answered by josgarithmetic)