SOLUTION: J is 3 years older than K. If you square K's age and add twice J's age, the result is 69. What are their ages?

Question 1119680: J is 3 years older than K. If you square K's age and add twice J's age, the result is 69. What are their ages?
Found 3 solutions by Tatiana_Stebko, Alan3354, Shin123:
Answer by Tatiana_Stebko(1539)   (Show Source): You can put this solution on YOUR website!
Let K be years old, then J be years old,.
If you square K's age and add twice J's age , the result is equal to

or
or - it's an extraneous root (since it's negative)
K is years old and J is years old
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
J is 3 years older than K. If you square K's age and add twice J's age, the result is 69. What are their ages?
---------
K = J-3
(J-3)^2 + 2J = 69
etc
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
K is years old and J is years old.

or
K is 7 and J is 10.
RELATED QUESTIONS
Good evening, I have an age application problem that I need assistance with. I will... (answered by bucky)
John is 40 years older than his son. Ten years later, their combined ages will be 90... (answered by Simnepi)
The sum of Amy's age and Debbie's age is 65. If Amy is five years older than Debbie,... (answered by josgarithmetic)
Sue and Joan are sisters. Joan is 7yrs. older than sue. In 3 yrs. joan�s age will be... (answered by Alan3354)
BILL IS X. SUE IS 5 YEARS OLDER THAN BILL. JANE IS 3 YEARS YOUNGER THAN BILL. WHAT IS... (answered by josmiceli)
Robin is twice as old as Jay, Robin is 11 years older than Ann. The total of the ages... (answered by ikleyn,josgarithmetic)
Jack is 7 years older than Conor (a) If jacks age is x years what is Conor’s age?... (answered by ikleyn)
John is three years older than Jim. Jim is four years less than twice David's age. How... (answered by ikleyn)
Chloe is 5 years older than Mia and Emma is triple Chloe’s age. Double the sum of... (answered by josgarithmetic)