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Popular Word Problems >

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

Solution

t h e s u m o f t h e a g es o f a w oo d pl a q u e an d a b ro n ze pl a q u e i s 20 ye a rs . f o u r ye a rs a g o, t h e b ro n ze pl a q u e w a s o n e ha l f t h e a g e o f t h e w oo d pl a q u e . F in d t h e p rese n t a g e o f e a c h pl a q u e

Solution

Wood plaque^{'} s age is : 12

Bronze plaque^{'} s age is : 8

Solution steps

Translate the problem into an equation:

20 - x - 4 = \frac{1}{2} (x - 4)

Solve for

x, 20 - x - 4 = \frac{1}{2} (x - 4) : x = 12

Find age

Wood plaque^{'} s age is : 12

Bronze plaque^{'} s age is : 8

Popular Examples

Kira has 500 in an account that earns 15% interest compounded annually.To the nearest cent, how much interest will she earn in 3 years eight times a number is-96. Find the number Mary's age is 5 times Jose's age. The sum of their ages is 18 . How old is each?Damien is 5 years older than Candela. In 4 years the sum of their ages will be 79. How old is Damien now?what number is 20% of 125