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 ​

Answer 1

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:-

$\sf\longrightarrow \: 3( x + 6 ) = 5x + 6$

$\sf\longrightarrow \: 3x + 18 = 5x + 6$

$\sf\longrightarrow \: 5x - 3x = 18 - 6$

$\sf\longrightarrow \: 2x = 12$

$\sf\longrightarrow \: x = \cancel\dfrac { 12 } { 2 }$

$\sf\longrightarrow \: x = 6$

Hence ,

• Daughters age is 6 years

• Father's age is 5x = 30 years