SOLUTION: The mean of the ages of father and his son is 27 years. After 18 years, father will be twice as old as his son. Their present ages are
Algebra.Com
Question 935502: The mean of the ages of father and his son is 27 years. After 18 years, father will be twice as old as his son. Their present ages are
Answer by Horlaye(27) (Show Source): You can put this solution on YOUR website!
Let the father and son's age be represented by x and y respectively
From the 1st sentence
(x+y)/2 = 27
Cross multiply the equation
x+y = 2*27
x+y = 54..........(1)
From the 2nd sentence
x+18 = 2(y+18)
x+18 = 2y+36
x-2y = 36-18
x-2y = 18..........(2)
Bring the two equations together
x+y = 54..........(3)
x-2y = 18..........(4)
Eliminate equation (4) from equation (3)
3y = 36
y = 36/3
y = 12
Substitute y = 12 in equation (3)
x+y = 54
x+12 = 54
x = 54-12
x = 42
Therefore there present ages =
Father = x = 42
Son = y = 12
RELATED QUESTIONS
A FATHER IS 3 TIMES AS OLD AS HIS SON. AFTER 12 YEARS HIS AGE WILL BE TWICE AS THAT OF... (answered by JulietG)
a father is three times as old as his son. after twelve years, his age will be twice as... (answered by stanbon)
the sum of ages of a father and son is 70.in ten years time,the father will be twice as... (answered by Maths68)
a father is 30 years older than his son. in 12 years, the father will be twice as old as... (answered by Maths68)
A father is 4 times as old as his son. In three years time His son will be 27 younger... (answered by rothauserc,math_helper)
the sum of the ages of father and son is 55 years.after 16 years the father will be twice (answered by mananth)
A father is 27 years older than his son..In 3 years he will be twice as old as his son.... (answered by macston)
The sum of ages of a father and son five years ago was 70.in ten years time the father... (answered by josgarithmetic)
a father is 27 years older than his son. Ten years from now the father will be twice as... (answered by Cromlix)