Answer:
liked = 45 ; disliked = 18
Step-by-step explanation:
Let the number of songs he liked be x & disliked be y.
The ratio of x & y :-
[tex] \frac{x}{y} = \frac{5}{2} \\ = > 2x = 5y \: \: \: \: [/tex]
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
