Question 9537
Factor Brenda's age into 24 = 3*8

 Factor 120 into 120 = 8*3*5

Trent can't be 120 since GCF of their ages would be 3*8
Trent can't be 8*3 since GCF of their ages would be 8*3
Let Trent be 8*5 = 40

 GCF(24,40) = 8

24 = 3*8

40 = 5*8

5*24 = 3*5*8=120
3*40 = 3*5*8 =120

LCM(24,40)=120

So Trent is 40