SOLUTION: a Father has two sons. The oldest son is 3 yrs older then the younger son. The father is 6 times older then the oldest son. sum of the ages of the 3 people is 47. Calculate the age

Question 659758: a Father has two sons. The oldest son is 3 yrs older then the younger son. The father is 6 times older then the oldest son. sum of the ages of the 3 people is 47. Calculate the ages of the 3 individuals

Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = father
y = older son
z = younger son
y = 3 + z
x = 6(y)
x + y + z = 47
Plug the first two equations into the third equation
6y + (3 + z) + z = 47
6(3+z) + 3 + z + z = 47
18 + 6z + 3 + z + z = 47
21 + 8z = 47
21 - 21 + 8z = 47 - 21
8z = 26
8x/8 = 26/8
z = 3.25 youngest son
y = 3 + z = 3 + 3.25 = 6.25 oldest son
x = 6(6.25) = 37.5 father
RELATED QUESTIONS
A man has 5 sons. Each son is 3 times older than the next younger. The oldest will be 3... (answered by ankor@dixie-net.com)

A father is 6 times older than his son in 9 years he will be 3 times older then his son... (answered by stanbon,mananth)

A man has five sons, each three years older than the next younger. The age of the oldest... (answered by checkley71,Paul)

Here is my problem: A father and his two sons bought a drug store for $320,000. If the (answered by venugopalramana,josmiceli)

Father is 16 years older than his son. 6 years ago the father was 3 times his sons age.... (answered by solve_for_x)

A father has two sons whose age differ by 3 years. In 20 years time the sum of the son's... (answered by TimothyLamb)

18 yrs ago, a father was 3 times as old as his son. now the fathr is only twice as old as (answered by josmiceli)

Mr.Reyes is 20 years older than his son, how old are the father and the son if Mr. Reyes... (answered by stanbon)

Two years ago a father was four times as old as his son. Three years from now the father... (answered by ptaylor)