Answer:
liked = 45 ; disliked = 18
Explanation:
Let the number of songs he liked be x & disliked be y.
The ratio of x & y :-
![(x)/(y) = (5)/(2) \\ = > 2x = 5y \: \: \: \:](https://img.qammunity.org/2021/formulas/mathematics/high-school/tvplhwcruek3o45sp55b8iw7qn06t11wyx.png)
And total number of songs he listened = 63
Then, x + y = 63...................eqn.1
=> x = 63 - y
Substituting the value of x in eqn. 2x = 5y gives :-
2(63 - y) = 5y
=> 126 - 2y = 5y
=> 7y = 126
=> y = 18
Substituting the value of y in eqn.1 gives
x = 63 - 18
= 45
Hence no. of songs he liked = 45 & disliked = 18