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?

2 answers

x + y = 48

x / 3 = (y / 6) + 5
... 2x = y + 30 ... 2x - y = 30

add equations to eliminate y

substitute back to find x
Seven more than one sixth of a number is greater than three