The difference between two numbers is 15

Question

.
Three

times the larger number is eight

times the smaller. Find the two numbers.

Answer 1

Just translate from English to Math
larger number --- x
smaller number --- y

x-y = 15---> x = y + 15

3x = 8y
3(y+15) = 8y
3y + 45 = 8y
45 = 5y
y = 9 , then
x = 9+15 = 24

state your conclusion

Answer 2

b-s = 15
3 b = 8 s
so b = 8s/3

8s/3 - 3s/3 = 15

5 s/3 = 15
s/3 = 3
s = 9
b = 9+15 = 24