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Subject :IMO    Class : Class 10

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be

A12 years
B14 years
C18 years
D20 years


Ans 1:

Class : Class 10
LET THE AGE OF FATHER AND SON BE X AND Y RESPECTIVELY X+Y=60......(1) AGE OF FATHER 6YEARS AGO WAS X-6=5(Y-6).....(2) X-6=5Y-30 BY USING ELIMINATION METHOD IN EQ (2)&(1) RESPECTIVELY WE GET Y=14YEARS AND X= 44YEARS THUS AFTER 6 YEARS THE SONS AGE WOULD BE 20 YEARS.

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