a father tom`s age is three times the sum of the ages of his two children,but 20yrs hence his age will be equal to the sum of their ages.then the father tom age is?

• Father's Age be f, Son 1 be x and Son 2 be y, then
  f=3(x+y) ... (1)
  After 20 years,
  f+20 = x+20 + y+20
  3(x+y)+20 = x+y+40
  2(x+y) = 20
  x+y = 10
  put this in eqn 1
  f= 3*10= 30 Years
• 12 years agoHelpfull: Yes(37) No(0)
• present ages:
  tom=x
  1st child=y
  2nd child=z
  the question says, x=3(y+z)..........eq1
  after 20 years, their ages are as follows
  tom=x+20
  1st child=y+20
  2nd child=z+20
  now the question says, x+20=y+20=Z+20 and hence
  x=y+z+20..................eq 2
  equating 1=2
  y+z+20=3(y+z)
  y+z=10...........eq3
  applying 3 in 1
  x=3(10)=30 years
• 7 years agoHelpfull: Yes(0) No(0)