SOLUTION: A father's age is 3 more than four times the age of his son. If the product of their ages is 351, what is the father's age?

Question 253251: A father's age is 3 more than four times the age of his son. If the product of their ages is 351, what is the father's age?
Found 2 solutions by Greenfinch, JimboP1977:
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
If the son is Z years old, the father is 4Z + 3 years old
Product is Z(4Z + 3) = 4Z^2 + 3Z = 351
So 4Z^2 + 3Z - 351 = 0
You can plug into the formula now or try factorisation
Factors of 351 are 3x3x3x13
3 x 13 gives 39 and 3 x 3 is 9, multiplied by the 4 from the z^2 term gives 36, difference 3 which is the Z term so
(4Z + 39)(Z - 9)=0
Z = -39 or 9
So son's age is 9, father's age is 39
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
Father's Age = F
Son's Age = S

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=5625 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9, -9.75. Here's your graph:

Son's age is 9, Father's age is 39

RELATED QUESTIONS
a fathers age is three more than four times the age of his son. if the product of their... (answered by harrysgirl143)
Father�s age is 1 more than five times the son�s age. After 3 years, father�s age will be (answered by ewatrrr)
The age of a father is 5 more the age of 6 times the age of his son. 7 years after, the... (answered by advanced_Learner)
THE AGE OF FATHER IS 25YEARS MORE THAN HIS SON .THE PRODUCT OF THEIR AGES ARE 84 YEAR... (answered by stanbon)
The sum of the ages of a father and his son is 45 years. Five years ago, the product of... (answered by ankor@dixie-net.com)
The age of Anu�s father is four times his age.If 5 years ago,the fathers age was seven... (answered by josgarithmetic)
The present age of father is 3 years more than 3 times the age of his son, 3 years later, (answered by ewatrrr)
the father is four times older than his son, if their gap age is 21, what are their... (answered by ramkikk66)
the present age of a father is three years more than three times the age of his son.... (answered by ankor@dixie-net.com)