Math, asked by anupama1173, 1 day ago

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Answered by TheLionHearted43
1

Answer:

Step-by-step explanation:

Let the fathers age be x years and his daughter be y years.

Therefore, seven years ago, age of father =  ( x - 7 )  

and age of daughter = ( y - 7 )

According to the given condition,

x - 7 = 7 ( y - 7 )  

or x - 7y = - 42 ...         (1)

After 3 years, fathers age = x + 3  and

daughter's age = ( y + 3 )

As per given condition,

x + 3 = 3 ( y + 3 )  

x - 3y = 6 ...                  (2)

ON subtracting (2) from (1), we get

x - 7y - ( x - 3y ) = - 42 - 6

⇒ - 4y = - 48

⇒ y = 12

On putting value of y in (2), we get

x - 3 (12) = 6

⇒ x = 6 + 36 = 42

Hence, present father's age = 42 years

and present daughter's age = 12 years.

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