MATH SOLVE

2 months ago

Q:
# The sum of the ages of a wood plaque and a bronze plaque is 20 years. Four years ago, the bronze plaque was one-half the age of the wood plaque. Find the present age of each plaque.

Accepted Solution

A:

let age of wood plaque = x and age of the bronze one be yΒ

Then we have the system of equations:-

x + y = 20 ..................................(1)

y - 4 = 0.5(x - 4)

y - 0.5x = 2.................................(2)

Subtract (2) from (1):-

1.5x = 18

x = 12

from equation (1):-

12 + y = 20

y = 8

ANSWER: bronze plaque is 8 years old and wood plaque is 12 years old.

Then we have the system of equations:-

x + y = 20 ..................................(1)

y - 4 = 0.5(x - 4)

y - 0.5x = 2.................................(2)

Subtract (2) from (1):-

1.5x = 18

x = 12

from equation (1):-

12 + y = 20

y = 8

ANSWER: bronze plaque is 8 years old and wood plaque is 12 years old.