Question

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number?

6
26
22
42

Answer 1

the answer is 22 your welcome 

Answer 2

x   +   y = 48            
x/3 - y/6 = 5

multiply 2nd equation by 3

x - y/2 = 15

subtract this from first eqution:-

y - (-y/2) = 33

3y/2 = 33
x = 66/3 = 22
and x = 48 - 22 = 26

so the smaller number is 22