SOLUTION: Jan is as old now as Gary was 15 years ago. Six years from now, Gary will be twice as old as Jan will be then. How old is Gary now?

Algebra.Com
Question 664621: Jan is as old now as Gary was 15 years ago. Six years from now, Gary will be twice as old as Jan will be then. How old is Gary now?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Jan is as old now as Gary was 15 years ago. Six years from now, Gary will be twice as old as Jan will be then. How old is Gary now?
-----------------------------
Equations:
j = g-15
(g+6) = 2(j+6)
------
Substitute for "j" and solve for "g":
g+6 = 2(g-15+6)
----
g+6 = 2g - 2*9
-----
g+6 = 2g-18
g = 24 (Gary's age now)
------
Solve for "j":
j = g-15
j = 24-15 = 9 (Jan's age now)
==================================
Cheers,
Stan H.

RELATED QUESTIONS

Jan is twice as old as Phyllis. In ten years Jan will be three times as old as Phyllis. (answered by AnlytcPhil)
Juan is 4 times older as Jan. Twelve years from now Juan will be 6 times as old as Jan... (answered by josmiceli)
1. when gary and rowena were married, rowena was two years younger than gary. how old was (answered by Paul)
Jan is 6 years older than his brother. He will be twice as old as his brother in 4 years. (answered by Alan3354)
Gary is as old as Harry will be when Gary is twice as old as Harry was when Gary’s age... (answered by josmiceli)
Ten years ago, Jan was four times as old as Michael. Now, he is only twice as old as... (answered by TimothyLamb)
Gary is 8 years older than his brother. Six years ago Gary was three times as old as his... (answered by josgarithmetic)
Gary is 8 years older than his brother. Six years ago Gary was three times as old as his... (answered by josgarithmetic)
If Gary is 6 years old today, and in ten years he will be twice as old as Bob is today,... (answered by TimothyLamb)