Isha’s grandfather was 5 times older to her 4 years ago. He would be three times of her age 8 years from now. 7 years ago, what was the ratio of Isha’s age to that of her grandfather’s age?
Answers
Answered by
1
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
Answered by
2
Let, Isha's age be x.
And her grandfather's age be y.
Thus, (y - 4) = 5(x - 4)
Or, y - 4 = 5x - 20
Or, 5x - y = 16
Or, y = 5x - 16. ............. (1)
➡️ And, (y + 8) = 3(x + 8)
Or, y + 8 = 3x + 24
Or, 5x - 16 + 8 = 3x + 24 [from (1)]
Or, 2x = 32
Or, x = 16
And, y = 5(16) - 16 = 64.
8 years ago, Isha = 16 - 8 = 8
And, her grandfather = 64 - 8 = 56.
➡️ The ratio of Isha's age to that of her Grandfather's is
= 8/56
= 1/7
= 1 : 7
REGARDS, ARNAB ✌️
THANK YOU
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