The ratio of present ages of Ram and Shyam is 4:3. If 10 years ago Ram was half of Shyam in age, what is the sum of their present ages?
Solution -
The ratio of present ages of Ram and Shyam is 4:3. If 10 years ago Ram was half of Shyam in age, what is the sum of their present ages?
let present ages of  ram and shyam be x and y
  x/y=4/3
x-10=1/2(y-10)
  4y/3-10=1/2(y-10)
  2(4y-30)=3(y-10)
  8y-60=3y-30
  5y=30
  y=6
   then x=4y/3=4*6/3=8
  Sum of their present ages=x+y=8+6=14
