Answer:
15
Step-by-step explanation:
What is average/arithmetic mean?
It means the "sum of the numbers" divided by the "number of numbers".
Let the two numbers be "x" & "y"
It says, average of 2 numbers is 12, so we can write:
[tex]\frac{x+y}{2}=12\\x+y=2*12\\x+y=24[/tex]
Smaller number is 6 less than bigger number. Let's suppose x is the bigger one and y is the smaller one, so we can write:
x - 6 = y
Now we have 2 equations:
x + y = 24
x - 6 = y
Putting 2nd in 1st we get:
x + x - 6 = 24
Solving for x:
2x - 6 = 24
2x = 24 + 6
2x = 30
x = 30/2
x = 15
Now we know y = x - 6, so
y = 15 - 6 = 9
y = 9
The larger number is 15
