The arithmetic mean of two numbers is 2.34. one number is 1.5 times smaller than the other. find the larger number.

The arithmetic mean is the ratio of the sum of all numbers to their number. So, knowing the arithmetic mean, you can find the sum of the numbers by multiplying the arithmetic mean by the number of numbers.

So, we find the sum of two numbers if their arithmetic mean is 2, 34:

2.34 * 2 = 4.68.

So the sum of the two numbers is 4.68.

Let’s denote one number by x.

Then another number will be 1.5 x, since by condition one number is 1.5 times greater than the other.

Let’s compose and solve the equation:

x + 1.5 x = 4.68.

2.5 x = 4.68.

x = 1,872.

The smaller number is 1,872.

Let’s find a larger number:

1,872 * 1, 5 = 2,808.

Answer: The larger number is 2.808.