SOLUTION: One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. What is the present age of the father?
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Question 947686: One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. What is the present age of the father?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let man’s present age be and son’s age }
if one year ago, a man was times as old as his son, then we have
...............eq.1 solve for x
Now his age is equal to the square of his son’s age:
...............eq.2
go to
..........substitute in eq.2
...............eq.2..1 solve for y
...factor
solutions:
if =>
if => .........we can disregard because it will give us same present age for both, father and son
now find
...............eq.2
plug in
so, now father is and son
check:
year ago father is and son , and a man was times as old as his son which is true because
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