The mean of two numbers is 10, and one number is 6more than the other. What is the value of the smaller of the two numbers?
(x + x + 6)/2 = 10
(2x + 6)/2 = 10
2x + 6 = 20
2x = 14
x = 7
To find the value of the smaller number, we need to represent it in terms of the larger number.
Let's assume the smaller number is x, and the larger number is x + 6 (as it is 6 more than the smaller number).
The mean of the two numbers is given as 10. The mean of two numbers is the sum of the numbers divided by the total number of numbers, which in this case is 2.
So, we can set up the equation:
(x + x + 6) / 2 = 10
Simplifying, we get:
(2x + 6) / 2 = 10
2x + 6 = 20
2x = 20 - 6
2x = 14
Dividing both sides by 2, we find:
x = 14 / 2
x = 7
Therefore, the value of the smaller number is 7.