226k views
3 votes
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

User Kapoue
by
8.4k points

2 Answers

5 votes
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
User DirWolf
by
7.8k points
3 votes
the answer is 22 your welcome

User Colt McAnlis
by
7.7k points