PLEASE HELP I WILL GIVE YOU THE BRAINLIEST!! The sum of a set of numbers is 48 and the average is 6. How many numbers are in this group?

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.

Step-by-step explanation:

step-by-step explanation:

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