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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?
Read Solution (Total 9)
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- 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. - 6 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)
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