Question

The sum of present ages of a father and his son is 50 years. After 5 years, the age of the father becomes thrice the age of his son. Find their present ages.

Answer 1

$\mathbf{ Let \: the \: present \: age \: o f \: son \: be \: \: x \: years \: and \: present \: age \: of \: father \: be \: \: ( 50 - x ) \: years, }$



$\mathbf{Afte r \: 5 \: years, } \\ \\ \mathbf{ Age \: of \: son = ( x + 5 ) \: years } \\ \mathbf { Age \: of \: father = \: ( 50 - x + 5 ) \: \: years = ( 55 - x ) \: \: years}$




According to the question,


Age of father after 5 years = 3 × age of son after 5 years,


=> 55 - x = 3( x + 5 )

=> 55 - x = 3x + 15

=> 55 - 15 = 3x + x

=> 40 = 4x

$= > \frac{40}{4} = x \\ \\ \bold{x = 10}$



Hence, Present age of son = x = 10 years


Present age of father = ( 50 - x ) = ( 50 - 10 ) = 40 years

Answer 2

Step-by-step explanation:

)The sum of present ages of a father and his son is 50 years .After 5 years , the age of the

father becomes thrice the age of his son . Find their present ages .