SOLUTION: Please help me solve this word problem: Jake is one year older than Daryl. Twice the product of their ages is 60 yrs. more than the product of their ages 5 yrs. from now. How ol

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Please help me solve this word problem: Jake is one year older than Daryl. Twice the product of their ages is 60 yrs. more than the product of their ages 5 yrs. from now. How ol      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 975720: Please help me solve this word problem:
Jake is one year older than Daryl. Twice the product of their ages is 60 yrs. more than the product of their ages 5 yrs. from now. How old is each?
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Jake is one year older than Daryl. 
J = D+1

Twice the product of their ages is 60 yrs. more than the product of their ages
5 yrs. from now.
2JD = (J+5)(D+5) + 60

So we have this system:

system%28J+=+D%2B1%2C+2JD+=+%28J%2B5%29%28D%2B5%29+%2B+60%29

2JD+=+%28J%2B5%29%28D%2B5%29+%2B+60
2JD+=+JD%2B5J%2B5D%2B25%2B60
JD+=+5J%2B5D%2B85

Substituting J = D+1

JD+=+5%28D%2B1%29%2B5D%2B85
%28D%2B1%29D+=+5D%2B5%2B5D%2B85
D%5E2%2BD+=+10D%2B90
D%5E2-9D-90=0
%28D%2B6%29%28D-15%29=0
D=-6;  D=15

Ignore the negative answer,

Daryl is 15,

Jake is one year older than Daryl. 
Jake is 16.

Edwin