Hey there!
Let x be boy 1's age, and y be boy 2's age (younger).
Firstly, we know that x+y=24
6y-4=3x+5 <== we have this right here. (using the rules given by the question)
We can use all the equations to help find the answer.
x+y=24
x+y (-y)= 24(-y)
x=24-y
Plug that into x in the equation we made above.
6y-4= 3(24-y)+5
6y-4= 72-3y+5
Add 4 to each side.
6y= 81 -3y
9y=81
y=9
We know the younger boys age is 9.
We can plug that in to find the older one's age.
x+9= 24
x= 15
The boy's ages are 9 and 15.
I hope this helps!
~kaikers
