3.
The difference between the ages oftwo of my three grandchildren is 5. My eldest grandchild's age is four timesthan the age of my youngest grandchild and my eldest grandchild's age is threeyears more than the ages of my two youngest grandchildren added together. Howold is my second grandchild?

• first consider the conditons
  elder as X; 2nd youngest as Y; 3rd grand child as Z
  (1) X=4Z
  (2) X=3+(Y+Z)
  also remember that difference between 2 children among 3 is 5
  so lets assume YandZ's age differnece is 5
  consider different values for Z
  when substuiting Z= 1,2,3 we cannot satisfy the above conditions ...but when Z=4 ..
  then X=4(Z)=4(4)=16...(I)
  so difference between Yand Z is 5..so Y=9..
  which even satisfies X=3+(Y+Z)
  X=3+(9+4)
  X=16...(II)
  
  from (I).... X=4(Z)=4(4)=16
  and (II) X=16
  
  so since the conditions are satisfied ...X=4,Y=9,Z=16
  which infers that second child is 9 yrs old
• 8 years agoHelpfull: Yes(12) No(2)
• let, eldest grandchild age=F
  second grandchild age= S
  youngest grandchild age=T
  Given that F-S=5 =>F=S+5
  F=4T
  F=3+S+T
  => S+5=3+S+T
  =>T+3=5 =>T=2
  =>F=4T=4(2)=8
  =>s=F-5=8-5=3
  So, the age of secong grandchild is 3 years
• 8 years agoHelpfull: Yes(10) No(0)
• required age is 3 years
• 8 years agoHelpfull: Yes(4) No(0)
• E=4X
  Y=X
  Middle grandchild(m)=x+5
  4x=3+(x+5)+x
  x=4
  x+5=9
• 8 years agoHelpfull: Yes(3) No(4)
• let the age of eldest grandchild (A)=x
  then the age of youngest ( C )= 4x
  C= 2nd elder grandchild.
  4x= B +x+3
  B=3x-3
  
  then we can write
  
  A B C
  
  4x 3x-3 x
  
  a/c to question,
  case1:
  
  4x-(3x-3) =5;
  x=2;
  then age B=3
  
  case2:
  (3x-3)- x=5
  x=4;
  the age of B= 9;
  
  thus , there are two possible answer: 3 or 9
  
• 8 years agoHelpfull: Yes(3) No(4)
• Please display correct answer ... quite confusing on seeing different methods
• 8 years agoHelpfull: Yes(3) No(0)
• let us consider three grandchildren as A,B and C.
  suppose A is elder and C is Younger,we have to find age of B.
  as per given data
  => A-B=5.........(1)
  => A=4C............(2)
  also,, A = (B+C)+3...(3)
  
  from 2 and 3
  => 4C=(B+C)+3
  i.e. 3C=B+3
  => B=3C-3....(4)
  
  put the value A and B from 2 & 4 in eq . 1
  
  i.e. => 4C-3C+3=5
  => C=2
  
  from 4.....
  => B=3(2)-3
  B=3
  
  from 3.....
  => A=(3+2)+3
  => A=8..
  
  So, the required age of second grandchild B is 3 years..
  
• 8 years agoHelpfull: Yes(2) No(0)
• LETS CONSIDER ELDER AS X; SECOND AS Y; THIRD AS Z
  GIVEN
  (1) X=4Z
  (2) X=3+(Y+Z)
  (3) Y=Z+5
  SUBSTITUTE (3) IN (2)
  WE GET
  (4) X=3+(2Z+5)
  NOW SUBSTITUTE (1) IN (4) & SOLVE
  WE GET
  X=16; WHICH GIVES Z=4; Y=9
  HENCE THE AGE OF SECOND GANDCHILD IS 9 YEARS
• 7 years agoHelpfull: Yes(2) No(0)
• answer is 9
• 8 years agoHelpfull: Yes(0) No(4)
• considering E-eldest,M-2nd grand child, Y-younget grand child;
  given conditions are:
  difference between ages of two of three grand childs is :5;
  E=4*Y;
  E=3+M+Y;
  i.e 4*y=3+M+Y
  Now considering the difference between middle one and the youngest one is 5(M-Y=5);then
  4*(M-5)=3+M+M-5 => 4M-20=2M-2
  M=9.
  So,the age of the 2nd grandchid is 9 years.
• 8 years agoHelpfull: Yes(0) No(0)
• g1-g2=5
  g1=4g3
  g1=3+g2+g3
  g1=8yrs
  g3=2yrs
  g2=3yrs
• 8 years agoHelpfull: Yes(0) No(0)
• This q have two ans. Let say, eldest-->e, Middle-->m, Smallest-->s, If we consider e-m=5, ans will be 3..
  If we consider m-s=5, it will be 9..
• 8 years agoHelpfull: Yes(0) No(0)
• eldest is 16
  second child is 9
  youngest is 4
• 6 years agoHelpfull: Yes(0) No(0)
• Most of the people have only considered x-y = 5 or y-z = 5 and neglected x-z=5. My answer considering x-z = 5 is here.
  x = 4(z) given
  4z = 3+(y+z) given
  x-z = 5 considered
  4z-z=5
  z=5/3. Which means a = 20/3 , b = 2
  The required answer is 2 years and it satisfies every condition given.
  -----
• 6 years agoHelpfull: Yes(0) No(0)
• youngest be x , then eldest = 3x.
  3x = y + x + 2 => y = 2x -2
  so ages are 3x , 2x-2 and x respectively.
  also difference between two of the child's ages is 3
  so 2x-2 -x = 3=> x = 5 , so second grand child = 3x = 3* 5.
  =15.
• 1 year agoHelpfull: Yes(0) No(0)