Tanya's grandfather was 8 times older to her 16 years ago . He would bi 3 times of her age 8 years from now . Eight years ago, what was the ratio of Tanya's age to that of her grandfather ?
1:2
1:5
3:8
None of these
Description:
প্রশ্ন: Tanya's grandfather was 8 times older to her 16 years ago . He would bi 3 times of her age 8 years from now . Eight years ago, what was the ratio of Tanya's age to that of her grandfather ?
ব্যাখ্যা:
Let, Tanya's age 16 years ago be x,
So grandfather's age 16 years ago = 8x.
8 years from now grandfather is three times of her age
=> 3(x+16+8) = (8x+16+8)
=> 3(x+24) = (8x+24)
=> 3x + 72 = 8x + 24
=> 5x = 48
=> x = 48/5
8 years ago ,the ratio was:
x+8)/(8x+8) = 48/5+8/8*48/5+5
=48+40/384+40 = 88/424
= 11/53
Therefore,
the ratio of tanya's age to that of her grandfather = 11:53