The arithmetic mean of two numbers, one of which is 4.6 greater than the other, is 8.2. Find the second number.

We know that the arithmetic mean of two numbers, one of which is 4.6 greater than the other, is 8.2.

In order to find the second number, let’s enter a variable and solve the resulting linear equation.

So, let’s denote the first number using the x variable, then the second can be written as (x + 4.6).

Let’s write the arithmetic mean of two numbers.

(x + (x + 4.6)) / 2 = 8.2;

x + x + 4.6 = 8.2 * 2;

2x + 4.6 = 16.4;

2x = 16.4 – 4.6;

2x = 11.8;

x = 11.8: 2;

x = 5.9 – the first number,

5.9 + 4.6 = 10.5 second number.