SOLUTION: A man is three times as old as his son. Ten years ago the sum of the square of their ages was 1250. find their ages

Question 956947: A man is three times as old as his son. Ten years ago the sum of the square of their ages was 1250. find their ages

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
M=man's age; S=son's age
M=3S
Substitute for M

Subtract 1250 from each side.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=48400 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 15, -7. Here's your graph:

S=15 ANSWER The son is 15 years old.
M=3S=3(15yrs)=45yrs ANSWER 2: The man is 45 years old.
CHECK:

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