SOLUTION: The sum of the ages of a gold coin and a silver coin is 95 years. The age of the gold coin 5 years from now will be 15 years less than the age of the silver coin 5 years ago. Find

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Question 1203995: The sum of the ages of a gold coin and a silver coin is 95 years. The age of the gold coin 5 years from now will be 15 years less than the age of the silver coin 5 years ago. Find the present ages of the two coins.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of the ages of a gold coin and a silver coin is 95 years.
The age of the gold coin 5 years from now will be 15 years less
than the age of the silver coin 5 years ago. Find the present ages of the two coins.
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Let x be the age of the golden coin.
Then the age of the silver coin is 95-x years.


Write this equation

    The age of the gold coin 5 years from now  = 15 years less than the age of the silver coin 5 years ago

               x + 5                                      ((95-x) - 5) - 15.


Simplify and find x

    x + 5 = 95 - x - 5 - 15

    2x = 95 - 5 - 15 - 5

    2x =       70

     x =       70/2 = 35.


ANSWER.  Golden coin age is 35 years.  Silver coin age is 95-35 = 60 years.

Solved.



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
COIN         5yearago            5yearsfromnow
  g          g-5                  g+5
  a          a-5                  a+5
SUM                                                      95


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The age of the gold coin 5 years from now will be 15 years less than the age of the silver coin 5 years ago.
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system%28g%2B5=-15%2B%28a-5%29%2Cg%2Ba=95%29

g%2B5=a-20
g-a=-25

Revising system to
system%28g-a=-25%2Cg%2Ba=95%29
Ready for simple use of Elimination Method.

system%28highlight%28g=35%29%2Cand%2Chighlight%28a=60%29%29