The sum of the ages of Karan and his father Hukum is 100. When Karan is as old as Hukum is now, he will be 5 times as old as his son, Purnendu is now. When Karan is as old as his father, Purnendu will be 8 years older than what Karan is now. Fidn th epresent age of Hukum, Karan and Purnendu.

1

Answers

2016-03-03T10:31:52+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the present of Karan's father be x .  
than the age of karan =(100-x)      
{given, karan age + karan's father age = 100}
gap or difference between karan's father and karan's age = x-(100-x)
=x-100+x
=2x-100
after 2x-100 years karan will be as old as his father is now.
his father age is x now. therefore karan's age after 2x-100 years is also x.
that time karan will be 5 times as old as his son, purnendu is now.
let purnendu present age = y
than the equation form = x = 5y
{⇒ y = x/5} ---------------------------------- (equation 1)
when karan is x years old then purnendu will be y+(2x-100) years old and 8 years than karan is now
∴ y +(2x-100) = (100-x) + 8     ----------------(equation 2)
⇒ x/5 + (2x - 100) = 108 - x
⇒ (x+ 10x - 500) / 5 = 108 - x
⇒ x + 10x - 500 = 540 - 5x
⇒ x + 10x + 5x = 540 + 500
⇒ 16x = 1040 
⇒ x = 1040/16
⇒ x = 65
 
∴ karan's father's age (hukum) is 65 years 
   karan's age = 100 - x = 100 - 65 = 35 years
   purnendu's age = x/5 = 65/5 = 13 years
1 5 1
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz mark as brainliest answer