The ratio of the present ages of two Friends is 2 : 3 and six years back, the ratio was 1 : 3. What will
be the ratio of their ages after 4 years ?.

• let the ages be 2x,3x
  6yrs back,so
  2x-6/3x-6=1/3
  x=4
  after 4 yrs
  2x+4,3x+4
  2(4)+4,3(4)+4
  12:16
  3:4
• 8 years agoHelpfull: Yes(28) No(0)
• let present age of two friends is x and y respectively
  x/y=2/3 equation 1
  6 yr back
  (x-6)/(y-6)=1/3
  3x-18=y-6
  3x-y=12 equation 2
  from equation 1
  x=2/3y
  putting the value of x in wq2
  we get y=12 and x=8
  this is present age after 4 yr
  8+4/12/4
  3/4 ANS
• 8 years agoHelpfull: Yes(8) No(0)
• TRAIL AND ERROR METHOD- 2:3=8:12(PRESENT AGES)
  6 YRS BACK- 1:3- (8-6):(12-6)
  AFTER 4 YRS- (8+4):(12+4)= 3:4
• 8 years agoHelpfull: Yes(3) No(0)
• x/y = 2/3
  x = (2/3)y
  (x-6)/(y-6) = 1/3
  substitute for x and solve
  y = 12 and x = 8
  after 4 years
  y = 16 x = 12
  x/y = 12/16 = 3/4.
  
• 8 years agoHelpfull: Yes(1) No(0)
• Two brothers ages a & b, now:
  "The ratio of the present ages of two brother is 2:3
  a/b = 2/3
  Cross multiply
  3a =2b
  b=3a/2
  "6 years back the ratio was 1:3."
  a-6/b-6=1/3
  Cross multiply
  3(a-6) = b - 6
  3a - 18 = b - 6
  3a = b - 6+ 18
  3a = b + 12
  Replace with 3/2a
  3a = 3/2a + 12
  3a - 3/2a = 12
  6a-3a/2=12
  3a/2=12
  a=12*2/3
  a=8
  then b=12
  "What will be the ratio of their ages after 4 years?"
  8+4/12+4=12/16=3/4; 3:4
• 6 years agoHelpfull: Yes(1) No(0)
• Ans = 3:4
  
  x : 3/2(x)
  3(x-6) : (3/2x - 6)
  x = 8
  
• 8 years agoHelpfull: Yes(0) No(1)
• Let present age 2x , 3x
  before 6 years 2x-6 and 3x-6 is equal to 1: 3
  2x-6/3x-6=1/3
  x=4
  present ages 8 and 12
  after 4 years 12 and 16
  ratio 12:16
  3:4
• 8 years agoHelpfull: Yes(0) No(0)
• 3:4 will be ratio of their present age
• 7 years agoHelpfull: Yes(0) No(0)
• 3:4
  Let the present ages be 2X:3X
  6 years ago the ages will be 2X-6/3X-6=1/3
  X=4
  The present ages be 2*4=8 and 3*4=12
  The ratio of present ages be 8:4
  After 4 years the ages will be 12:16=3:4
• 6 years agoHelpfull: Yes(0) No(0)