Question 1010903
Call the smaller and the larger numbers, x and y.  Then we have
(1/3)x + (2/3)y = 34
and
(1/2)x = (1/4)y  which also means 2x = y
Let's multiply the top equation by 3 to clear fractions and get
x + 2y = 102
Now substitute y = 2x and get
x + 2(2x) = 102
x + 4x = 102
5x = 102
x = 20.4
y = 2(20.4) = 40.8