. Mr. Dash has 3 sons whose ages are respectively a, b and c. The grandfather has bought a cycle for the eldest son, mother has bought a bag for the youngest one which cost Rs150/. The sum of ages of the eldest son & one son is 15.The difference of age of sons is 3 & 2.Then what is the age of the eldest son?

• see a+b=15
  a-b=3
  if we add above 2 statements then we get
  2a=18
  a=9
  since a-b=3
  9-b=3
  b=9-3=6
  now b-c=2
  6-c=2
  c=6-2=4
  a=9,b=6,c=4
• 12 years agoHelpfull: Yes(21) No(5)
• let age of a=x,b=y,c=z;
  x+y=15;--1
  x-y=3;--2
  y-z=2;
  taking 1& 2
  x=9;
  y=6;
  z=4;
  
• 12 years agoHelpfull: Yes(7) No(1)
• a=eldest son;b=elder son;c=younger son;
  b+c=15;__________(1).
  case a: a-b=3_____(2a) & b-c=2____(2b)| case b: a-b=2_____(3a) & b-c=3____(3b)
  solving equ(1) and(2b) we get |solving equ(1) and(3b) we get
  b=17/2 (not possible) | b=9;and c=6;a=11;
  while considering the differences of ages a-c can also be thought of
  but can be eleminated by using the option as they are 2 digit and the sum
  of the ages of b and c is 15 so they should be single digit in order to keep
  the difference 2 and 3
• 12 years agoHelpfull: Yes(5) No(2)
• let A---- eldest son
  B&C-----youngest sons
  i.e
  A+B=15
  and
  A-B=3 and B-C=2
  by using simultaneous equation
  A=9
  B=6
  C=4
  the age of the eldest son=9
  
• 12 years agoHelpfull: Yes(3) No(3)
• assume youngest son's age as x
  middle x+3
  eldest x+5
  eldest + one son (youngest)=15
  ( if u take eldest and elder son equation doesnt satisfy
  2x=17,which is impossible, as he has given the difference in the form of integers)
  x+5+x=15
  2x=10
  x=5
  ages are 5, 8, 10
  so the answer is 10.
  hope this serves abit.
• 11 years agoHelpfull: Yes(1) No(0)