SOLUTION: The sum of the ages of a gold coin and a silver coin is 115 years. The age of the gold coin 15 years from now will be 10 years less than the age of the silver coin 10 years ago. Fi

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Question 1054561: The sum of the ages of a gold coin and a silver coin is 115 years. The age of the gold coin 15 years from now will be 10 years less than the age of the silver coin 10 years ago. Find the present ages of the two coins.


years (gold coin)
years (silver coin)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let g = the age of the gold coins
let s = the age of the silver
:
Write an equation for each statement
:
The sum of the ages of a gold coin and a silver coin is 115 years.
g + s = 115
The age of the gold coin 15 years from now will be 10 years less than the age of the silver coin 10 years ago.
g + 15 = s - 10 - 10
g = s - 20 - 15
g = s - 35
:
in the 1st equation, replace g with (s-35)
(s-35) + s = 115
2s = 115 + 35
s = 150/2
s = 75 yrs old is the silver coin
then
g = 75 - 35
g = 40 yrs old is the gold coin
:
;
Check 40 + 75 = 115



Find the present ages of the two coins.