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

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) (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.

RELATED QUESTIONS
The sum of the ages of a gold coin and a silver coin is 65 years. The age of the gold... (answered by ankor@dixie-net.com)

The sum of the ages of a gold coin and a silver coin is 120 years. The age of the gold... (answered by Menjax)

The sum of the ages of a gold coin and a silver coin is 60 years. The age of the gold... (answered by addingup)

The sum of the ages of a gold coin and a silver coin is 110 years. The age of the gold... (answered by josgarithmetic)

The sum of the ages of a gold coin and a silver coin is 95 years. The age of the gold... (answered by ikleyn,josgarithmetic)

A gold coin is 84 years older than a silver coin. Twenty years ago, the gold coin was... (answered by stanbon)

The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing... (answered by Alan3354)

The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing... (answered by josmiceli)

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more (answered by stanbon)