The average age of a group consisting of mathematiciansis thirty five and average age of the physicists is fifty.Average of both of them is 40. Find ratio of yhe number of mathematicians to physicists?

• let no. of mathematicians=x & no. of physicists=y
  total age of mathematicians=35*x
  total age of physicists=50*y
  also,total age of mathematicians+physicists=40(x+y)
  so 35x+50y=40(x+y)
  or 35x+50y=40x+40y
  or 5x=10y
  or x/y=2/1
  x:y=2:1
  
• 11 years agoHelpfull: Yes(3) No(0)
• answer is 2. solution is given below.
  let number of mathematicians be 'a' and that of physicists is 'b'.
  sum of age of mathematicians be 'x' and that of physicists is 'y'.
  according to question
  x/a=35 or, x=35a----eq1
  y/b=50 or, y=50b----eq2
  (x+y)/(a+b)=40------eq3
  solving eq 1,2 and 3 we get
  10b=5a or a/b =2
• 11 years agoHelpfull: Yes(0) No(0)