Father's age is five times the age of his daughter. After 6 more year's father's age will
be three times her age. Find father's present age
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Question:-
Father's age is five times the age of his daughter. After 6 more year's father's age will be three times her age. Find father's present age.
To Find:-
Find the present age of father.
Solution:-
Let the daughter age be ‘ x ’
Father's age be ‘ 5x ’
According to the Question:-
\sf\longrightarrow \: 3( x + 6 ) = 5x + 6⟶3(x+6)=5x+6
\sf\longrightarrow \: 3x + 18 = 5x + 6⟶3x+18=5x+6
\sf\longrightarrow \: 5x - 3x = 18 - 6⟶5x−3x=18−6
\sf\longrightarrow \: 2x = 12⟶2x=12
\sf\longrightarrow \: x = \cancel\dfrac { 12 } { 2 }⟶x=
2
12
\sf\longrightarrow \: x = 6⟶x=6
Hence ,
Daughters age is 6 years
Father's age is 5x = 30 years
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