The arithmetic mean of two numbers is 120. The first number is 65% of their sum. Find these numbers.

To solve this problem, remember, in order to find the arithmetic mean, you need to add all the numbers and divide their sum by their number. Let’s calculate the sum of two numbers, knowing that their arithmetic mean is 120.
x / 2 = 120;
x = 120 * 2;
x = 240.
Let’s calculate what the first number is equal to, knowing that it is 65% of the amount. Remember, to find the percentage of the number, you need to multiply this number by the percentage and divide by one hundred.
240 * 65/100 = 240 * 0.65 = 156.
Let’s calculate the second number.
240-156 = 84
Answer: 156; 84.