Question

2. The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 34. The ages of the and the father are respectively தந்தை மற்றும் மகனின் வயதுகளின் கூடுதல் 45 வருடங்கள். ஐந்து வருடங்களுக்கு முன்பு அவர்களின் அவர்களின் வயதுகளின் பெருக்கற்பலன் 34. மகன் மற்றும் தந்தையின் வயதுகள் முறையே (a)6 and 39 (b)7and 38 (c) 9 and 36 (d) 11 and 34.​

Answer 1

Answer

Let the age of father be x years and age of his son be ( 45 - x ) years,

Five years ago,

Age of father = ( x - 5 ) years

Age of his son = ( 45 - x - 5 ) years = ( 40 - x ) years

According to the question,

Product of their ages five years ago = 4 × father's age five years ago

=> ( x - 5 ) ( 40 - x ) = 4( x - 5 )

=> 40 - x = 4

=> 40 - 4 = x

=> 36 = x

Hence,

Present age of father = x years = 36 years

Present age of his son = ( 45 - x ) = ( 45 - 36 ) = 9 years