SOLUTION: Tom is 5 years older than Kori. In 6 years the sum of their ages will be 79. How old is Tom now?

Question 1016571: Tom is 5 years older than Kori. In 6 years the sum of their ages will be 79. How old is Tom now?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
T= K+5
T+6+K+6 = 79 Substitute:
K+5+6+K+6= 79
2K+17= 79
2K = 62
K = 31 and
T = 31+5 = 36
In 6 years:
(31+6)+(36+6)= 79
37+42 = 79 We have the correct answer.
J
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Tom's age now
Let = Kori's age now
-------------------------
(1)
(2)
------------------------
(2)
and
(1)
------------------
Add the equations

and
(1)
(1)
(1)
Tom is 36 now
----------------
check:
(1)
(1)
(1)
-----------------
(2)
(2)
(2)
OK
RELATED QUESTIONS
Tom is 3 years older than Esmeralda. In 6 years the sum of their ages will be 65. How old (answered by ankor@dixie-net.com)
Tom is 8 years older than Kristina. In 5 years the sum of their ages will be 64. How old... (answered by Boreal,MathTherapy,greenestamps)
Austin is 2 years older than Kori. In 9 years, the sum of their ages will be 54. How old... (answered by josgarithmetic,ikleyn)
Currently Tom is 10 years older than Mike. In 5 years the sum of their ages will be 44.... (answered by edjones)
currently tom is 10 years older than mike. in 5 years the sum of their ages will be 44.... (answered by stanbon)
Cindy is 5 years older than Tom. In 6 years, the sum of their ages will be 35 years. How... (answered by stanbon)
raquel is now 3 years older than bev. in 5 years the sum of their ages will be 79.how old (answered by vidhyak)
Raquel is now 3 years older than Ben. In 5 years, the sum of their ages will be 79. How... (answered by Alan3354)
Tom is 5 years older than Jerry. In 2 years,Jerry will be three fourths as old as tom.... (answered by ewatrrr)