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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.