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A silver coin is 28 years older than a bronze coin. In six years, the silver coin will be twice as old as the bronze coin. Find the present age of each coin.

Sagot :

Answer:

The bronze coin is 22 years old and the silver coin is 50.

Step-by-step explanation:

Use a variable to define the age. Start with the younger age.

Let the age of the bronze be  

x

The silver coin is 28 years older. Age of silver coin is  

x

+

28

In 6 years time, both coins will be 6 years older than now.

Bronze will be  

x

+

6

Silver coin will be  

x

+

28

+

6

=

x

+

34

In six years time the following relationship will be true:

2

×

younger age

=

older age

2

(

x

+

6

)

=

x

+

34

2

x

+

12

=

x

+

34

2

x

x

=

34

12

x

=

22

The bronze coin is 22 years old and the silver coin is 50.

In 6 years time - they will be 28 and 56 respectively.