Four years ago Shayam’s age was three-fourths times that of Ram. Four years hence, Shyam’s age will be five-sixths times that of Ram. What is the present age of Shyam?
a)15
b)20
c)16
d)24

• c) 16 years
  
  Let the Ram's age 4 years ago was x years, then Shyam's age 4 year ago=3x/4 years
  Present age of Ram= x+4 and Shyam= (3x/4)+4
  After 4 more years Ram's age= x+8 and Shyam's age=(3x/4)+8 where Shyam’s age will be 5/6 of Ram's age => (x+8)*5/6= (3x/4)+8
  => (5x+40)/6 = (3x+32)/4
  => 9x+96 = 10x+80
  => x= 16
  So present age of Shyam=(3x/4)+4= (3*16/4)+4= 16 years
• 8 years agoHelpfull: Yes(3) No(0)
• (3/4)x=x =>4 years ago
  (3/4)x+8=5/6(x+8) =>4 years hence
  x=16(ram's age 4 years ago)
  (3/4)*16=12,12+4(present age of shayam)
  
• 8 years agoHelpfull: Yes(0) No(0)