Question 2314
Let larger number be x
Let smaller number be y

x = y + 16  --eqn1

(2/3)x - y = (x+y)/4 --eqn2

eqn2 becomes, by multiplying every term by 12...

8x - 12y = 3x + 3y
5x = 15y
x = 3y --eqn3

sub 3 into 1 for x, to give 

3y = y + 16
2y = 16
y = 8

so, x = 24

check these by using them in the question and making sure that you do get the correct answers that way.

jon