The average of two numbers is equal to twice the positive difference between the two numbers. If the larger number is 35, what is the smallest number?

Question

parthkohli · Answer

Can you introduce suitable notation here?

parthkohli · Answer

Let the smaller number be $\rm n$.
Then what is the expression for the average?

anonymous · Answer

I'm confuse

parthkohli · Answer

Do you know what average of two numbers is?

anonymous · Answer

No ...that's the whole question

anonymous · Answer

n = the smaller number
(35+n)/2 = expression to the average of number
Then, we can write this problem to this equation:
$$\frac{ 35+n }{ 2 } = 2 (35-n)$$
35+n = 4 (35-n)
35+n = 140 - 4n
4n+n = 140 -35
5n = 105
n=21
You can test the result by entering value of n to the problem again.