Ratios and proportions

Question

Martha and Noah had the same number of songs on their iPod. After Martha got 23 more songs and Noah got 11 more songs, the ratio of Martha's songs to Noah was 5 to 3. How many songs did Martha and Noah have then?

Answer 1

(M+23)/(N+11) = 5/3

M/N= 1

M=N

(M+23)/(M+11) = 5/3

3M + 69 = 5M + 55

2M= 14

M = 7 = N.

They both originally had 7

now they have 30 and 18. 30/18 = 5/3