One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?
(a) 5 (8) 10 (c) 8 (d) 15

• The 2nd condition given is wrong it should be two more than the age of other two children...
  
  Let the three grandchildren age be a,b and c
  Thus, a is youngest, c is eldest.
  c = 3a.........(i)
  c = 2+(a+b)..........(ii)
  => 3a = 2+a+b
  => 2a = 2+b
  Thus, the ages are.....
  a, 2a-2 , 3a.
  
  Two of their difference is 3.
  Thus, a- 2 =3 or a+2 =3 or 2a =3
  a =5 or a =1 or a =3/2.
  
  Thus ages are, 5,8,15
  or , 1,0 3 (not possible). or 3/2, 1, 9/2 (not possible.).
  The answer should be 15.
• 13 years agoHelpfull: Yes(109) No(17)
• Solution: there are 3 childs,let the age of younger be x,elder be 3x,so the middle one be m,3x=2+x+m,then we have a-b=3 or b-c=3,or a-c=3, then for answer we have to go via options, substitute that in above equations
• 13 years agoHelpfull: Yes(3) No(13)
• 3x=2+2x+3
  
  ans-8
• 13 years agoHelpfull: Yes(2) No(31)
• b-c = 3_______________(1)
  a-3c= 0 ______________(2)
  a-(b+c)=2 _____________(3)
  _________________________________solve 3 equation and get the answer.
  a=15, b=8, c=5
• 9 years agoHelpfull: Yes(1) No(0)
• given three children elder be E
  middle be M
  younger be Y
  As per question...
  E-M=3
  M-Y=3
  E=3Y
  E=2(M+Y)
  3Y-M=3
  M-Y=3
  adding both eq..2Z=6
  Z=3
  We know.........
  E=3Z
  E=9
• 10 years agoHelpfull: Yes(0) No(2)