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24 Jan 2020 : Ratio

Isha’s grandfather was 4 times older to her 3 years ago. He would be two times of her age 25 years from now. 9 years ago, what was the ratio of Isha’s age to that of her grandfather’s age?

OPtion

1) 2:51
2) 1:6
3) 2:12
4) 4:25
5) 1:3
6) 5:23
7) 3:19
8) 1:7
9) 5:18
10) None of these

Solution

Suppose Isha's grandfathers age is x and Isha's age is y

3 years ago
x-3 = 4*(y-3)
=> x = 4y - 9 --(i)

25 years from now
x+25 = 2*(y+25)
=> x = 2y + 25 --(ii)

(i) = (ii)
4y - 9 = 2y + 25
=> 2y = 34
=> y = 17
and x = 59

9 years ago
Age of Grandfather = 59 - 9 = 50
Age of Isha = 17 - 9 = 8
Ratio of ages = 8:50 = 4 : 25


Option 4)

Correct Option: 4 Best Solution (0)