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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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