Question

The sum of present ages of anil and his father is 54 years.Six years ago, anil's father was 6 times as old as anil.Find their present ages.

Answer 1

answer:

let x be the age of anil and y be the age of his father

we know,

x + y = 54........ eqn 1

six years ago,

x-6 = 6(y - 6)

x - 6 = 6y - 36

x - 6y = -36+6

x-6y= -30

x= -30+6y

sub x value in eqn 1

-30+6y +y = 54

-30+7y = 54

7y = 54+30

7y = 84

y = 84 /7

y=12

now sub y value is eqn 1

x+12=54

x= 54 -12

x = 42

therefore anil age is 12 and his father age is 42

verification x+y=54

12 +42=54

54=54

hence my ans is correct

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