Latest Book Aptitude Question SOLUTION: A father\'s age is thirteen times that of his son. In 10 years, the son\'s age will be one-third of his father\'s. How old are the father and son?

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(#M40034341) BOOK question Keep an EYE

A father's age is thirteen times that of his son. In 10 years, the son's age will be one-third of his father's. How old are the father and son?

Asked In Book (10 years ago)

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Devendra Marghade  (10 years ago)

26 & 2 years

If age of father=x, son=y
x=13y ---(i) &
(x+10)=3(y+10) ---(ii)
Solving (i)&(ii), x=26, y=2

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RAHUL KUMAR  (10 years ago)

LET THE AGE OF FATHER IS 'F'
SON IS 'S'
NOW GIVEN THAT
F=13S
F-13S=0.......(1)
1/3(F+10)=S+10
F+10=3S+30
F-3S=20....(2)
BY SOLVING EQ 1 AND 2
WE GET
SON AGE =2YR
FATHER AGE =26YR

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kuppili niranjan  (10 years ago)

let son age be x
then father age is 13 times of son means 13x
after 10 years
the age of son will be x+10 and father =13x+10
where condition is son age is one third of father that means

(13x+10)/3=x+10
13x+10=3(x+10)
13x+10=3x+30
therefore 10x=20 and x=2

then present father age = 13x = 13(2)=26
present son age =x=2

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