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
22
26
42

please just tell me the answer.

Answer 1

b: 22

Explanation:

Answer 2

The answer is 22

The sum of two numbers is 48:
x + y = 48 ⇒ x = 48 - y
One third of one number is 5 greater than one sixth of another number:
1/3x =5 + 1/6 y

1/3(48 - y) = 5 + 1/6y
1/3 * 48 - 1/3 * y = 5 + 1/6 y
16 - 1/3y = 5 + 1/6y
16 - 5 = 1/6y + 1/3y
11 = 1/6y + 2/6y
11 = 3/6y
y = 11 * 6 / 3
y = 22

x = 48 - y
x = 48 - 22
x = 26

The smallest number is 22.