Isha’s grandfather was 5 times older to her 6 years ago. He would be three times of her age 4 years from now. 8 years ago, what was the ratio of Isha’s age to that of her grandfather’s age?

• suppose that now their age is
  x and y
  
  6 years ago age was:x-6 , y-6
  (x-5)5=y-6
  after 4 years age would be
  (y+4)=3(x+4)
  on solving eq 1 and 2 we get x=16 y =56
  so 8 years ago
  (16-8)/(56-8)= 1/6
  ratio is = 1:6
• 7 years agoHelpfull: Yes(1) No(0)
• (y-6)=5(x-6) equation for ages six years ago
  (y+4)=3(x+4)
  on solving eq 1 and 2 we get x=16 y =56
  so now 8 years ago
  (16-8)/(56-8)= 1/6
• 7 years agoHelpfull: Yes(0) No(1)
• According to 1st sentence:
  G-6 = 6(I-6)
  According to 2nd sentence:
  G+4 = 3(I+4)
  Solving both equations, we will get
  G=14 and I=2
  Hence required ratio is 2:14 or 1:7
• 7 years agoHelpfull: Yes(0) No(1)
• 5(x-6)=(y-6) _ six years ago {1}
  3(x+4)=(x+4) _ four years from now {2}
  From 1 and 2, x=16 y=56
  8 years ago,
  16-8/56-8=1/6
• 7 years agoHelpfull: Yes(0) No(0)
• 6 years ago, Isha's age was 10 and her grandfather's age was 50.
  4 years from now, Isha's age will be 20 and that of her grandfather's will be 60.
  8 years ago, Isha's age was 8 and her grandfather's age was 48. The ratio of Isha's age to that of her grandfather's age is 1:6.
• 7 years agoHelpfull: Yes(0) No(0)
• 1:6
  if isha age is x and grandfather age is y
  6 years ago y-6=5 (x-6)-----(1)
  after 4 years y+4=3(x+4) --------(2)
  by solving equations 1&2
  we get x=16 and y=56
  8 years ago 1:6
• 6 years agoHelpfull: Yes(0) No(0)
• lets age of isha is x and his grandfather is y.
  6 years ago and 5 times older isha from grandfather
  it means we need to subtract 6 and multiply isha age by 5
  5(x-6)=(y-6) => 5x-30=y-6 =>5x-y=30-6 =>5x-y=24 eq (1)
  
  similarly three times and 4 years after,after means we need to add 4 and multiply isha by 3.so
  3(x-4)=(y-4)
  3x-12=y-4 => 3x-y=-12-4 =>3x-y=-16 eq.(2)
  now subtract eq.(2) from eq(1) by changing sign of eq(2)
  we get
  2x=32 => x=16 and by putting x value in eq.2 we get y=56
  according to question 8 year ago means subtract 8 from isha and also from grandfather
  16-8/56-8 =>8/48 =>1/6
• 6 years agoHelpfull: Yes(0) No(0)
• Age ratio 6 years back=x:5x
  After 4 years=(x+10):(3×(x+10))
  Present ratio would be same, hence
  [(x+6)/(5x+6)]=[(x+10-4)/[(3×(x+10))-4]]
  Solving we get x=10, which is age of isha 6yrs ago and grandfather's age becomes 50. Now eight years ago, ration would be 8:48 which is 1:6
• 5 years agoHelpfull: Yes(0) No(0)
• (8x+4)/5x=(x+4)/x
  8x+4=5x+20
  x=5
  hence 5x=25
  ratio is 1:5
• 3 years agoHelpfull: Yes(0) No(0)