Question 975720
Jake is one year older than Daryl. 
<pre>
J = D+1
</pre>
Twice the product of their ages is 60 yrs. more than the product of their ages
5 yrs. from now.
<pre>
2JD = (J+5)(D+5) + 60

So we have this system:

{{{system(J = D+1, 2JD = (J+5)(D+5) + 60)}}}

{{{2JD = (J+5)(D+5) + 60}}}
{{{2JD = JD+5J+5D+25+60}}}
{{{JD = 5J+5D+85}}}

Substituting J = D+1

{{{JD = 5(D+1)+5D+85}}}
{{{(D+1)D = 5D+5+5D+85}}}
{{{D^2+D = 10D+90}}}
{{{D^2-9D-90=0}}}
{{{(D+6)(D-15)=0}}}
D=-6;  D=15

Ignore the negative answer,

Daryl is 15,
</pre>
Jake is one year older than Daryl. 
<pre>
Jake is 16.

Edwin</pre>