SOLUTION: please help me solve this problem. jessie is 5 years older than ariane. four years from now, the sum of their age will be three times jessie's age 4 years ago. how old are they now

Question 450543: please help me solve this problem. jessie is 5 years older than ariane. four years from now, the sum of their age will be three times jessie's age 4 years ago. how old are they now?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
please help me solve this problem. jessie is 5 years older than ariane. four years from now, the sum of their age will be three times jessie's age 4 years ago. how old are they now?
--------
Equations:
j = a + 5
(j+4) + (a+4) = 3(j-4)
-----
Substitute for "j" and solve for "a":
---
(a+9) + a+4 = 3(a+1)
2a+13 = 3a+3
a = 10 yrs (Ariane's age now)
----
Solve for "j":
j = a + 5
j = 15 yrs (Jessie's age now)
============================
Cheers,
Stan H.
=========
RELATED QUESTIONS
Adam is 24 years older than his son, Jessie. Four years from now, Jessie will be 2/5 of... (answered by stanbon,ewatrrr)

Adam is 24 years older than his son, Jessie. Four years from now Jessie will be 2/5 of... (answered by stanbon,maxitee)

Adam is 24 years older than his son, Jessie. Four years from now, Jessie will be 2/5 of... (answered by stanbon)

Please help me solve this problem "Mr. Integer is 25 years older than his student Ratio.... (answered by MathLover1)

This word problem is really bugging me can you solve it? A father is now 20 years... (answered by mananth)

Manny is 9 years older than Charlie. Four years ago the sum of their ages was 17 years.... (answered by macston)

Please help me solve this age problem: The sum of Sonny and Cely's ages is 81. 3 years... (answered by benbjlin)

Hi can someone help me solving this problem. Thank you very much. 1. Erwins age is... (answered by MathTherapy)

Brittney is 5 years older than her brother Brandon. 3 years from now the sum of their age (answered by macston)