The arithmetic mean of 2 numbers is 0.48. One of these numbers is 1.4 times the other. Find all numbers

To solve the problem, the first, smaller of the numbers, we will designate as “a”.

It is known that the second number is 1.4 times greater than the first, therefore it will be equal to “a * 1.4”.

Let’s make an equation, taking into account that the arithmetic average of the two numbers is 0.48:

(a + 1.4a) / 2 = 0.48.

Let’s solve the equation and find the value “a”:

a + 1.4a = 0.48 * 2;

2.4a = 0.96;

a = 0.96 / 2.4;

a = 0.4 is the smaller number.

Let’s find the second number:

0.4 * 1.4 = 0.56 is a larger number.

Answer: the unknown numbers are the numbers 0.4 and 0.56.