SOLUTION: A woman is 3 times as old as her son.8 years ago the product of their age was 112.find their present age
Algebra.Com
Question 987172: A woman is 3 times as old as her son.8 years ago the product of their age was 112.find their present age
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
A woman is 3 times as old as her son.
W = 3S
8 years ago the product of their age was 112.
(W - 8)(S - 8) = 112
Replace W with 3s from top equation
(3S - 8)(S - 8) = 112
Multiply out
3S^2 - 32S + 64 = 0
Factorise
(3S + 4)(S - 12) = 0
3S + 4 = 0
3S = -4
S = -4/3 (No answer as -ve)
S - 12 = 0
S = 12
Son is 12 years old
Woman is 36 years old
Hope this helps :-)
RELATED QUESTIONS
A woman is 3 times as old as her son . 8 years ago the product of their child was 112.... (answered by stanbon)
please help me solve
a woman is 3 times as old as her son. 8 years ago the product of... (answered by greenestamps)
A woman is 3 times as old as her son. 8 years ago the product of their ages was 112. Find (answered by ikleyn,MathLover1)
A man is 3 times as old as his son. 8 years ago the product of their age was 112. Find... (answered by mananth,Maths68)
A woman is 5 times as old as her daughter. Two years ago the sum of the squares of their... (answered by MathTherapy)
A lady is three times as old as her daughter. 8 years ago the product of their ages was... (answered by solver91311,stanbon)
A man is three times as old as his son and six years ago the product of their age was... (answered by ptaylor)
a man is now 5 times as old as his son. Four years ago,the product of their ages was... (answered by Nigelyul)
a woman is 40 years old. 8 years ago she was 4 times as old as her son. what is the sons... (answered by Alan3354)