The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. Find the present ages, in years, of the son and the father.
Answers
Step-by-step explanation
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ANSWER
Let the present age of father's be x years and present age of son's be y years.
According to the problem
x=6y
After 4 years
x+4=4(y+4)
Hence we get two equations
x=6y ......... (1)
x+4=4(y+4) ..... (2)
Simplifying eq (2)
x+4=4y+16
x−4y=12
Put x=6y in eq (2), we get
6y−4y=12
2y=12
y=6 years
and x=6y=36 years
Present age of son =6 years
and present age of father =36 years
Answer:
let sons age be x
fathers age = 6x
4 yrs from now sons age = x + 4
fathers age 4 yrs from now = 4 (x + 4 )
present age can be taken out as follows
6x + 4 = 4( x + 4 )
6x + 4 = 4x + 16
2x = 12
x = 6
So, son's present age is 6 yrs
and
father's present age is 36 years
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