Question

The sum of the ages of Anup and his father is 100.When Anup is as old as his father now, he will be 5 times as his son,Anuj is now.Anuj will be 8 years older than Anup is now,when Anup is as old as his father .What are their ages now?

Please explain in detail and write steps.
thank you!!

Answer 1

Let age of Anup is x yrs

thus, Father's age= (100-x)

When Anup's age=Father's age=100-x

Now Anuj's age
= (100-x)/5

Eq. 1 (Translating 2nd last line#)

Anuj will be 8 years older than Anup when Anup
become same as father's age

=>(100-x)-x+(100-x)/5=x+8

500-5x-5x+100-x=5(x+8)

600-11x=5x+40

16x=540

x =35 yrs

age of Anup is 35 yrs

age of Anuj is 13yrs

age of Anup's father is 65yrs
After 30years Anup's age=65
Anuj's age will be 35+8=43=13+30
This