SOLUTION: John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally?
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Question 62371: John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally?
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally?
The two equations are:
.
.
Replace J with (3/4)S in the 2nd equation:
.
Multiply both sides of the equation by 20 to get rid of the fractions:
.
Or, .
Or, .
So, .
Sally is 20 years old. John is 3/4 of Sally's age so John is 15.
Verification:
In 5 years Sally will be 25 and John will be 20 which is indeed four-fifth's of Sally's age in 5 years.
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