The sum of the two numbers is 4, with one third of the first number being equal to 20% of the second.

The sum of the two numbers is 4, with one third of the first number being equal to 20% of the second. What are these numbers equal to?

Let one number be x, then the second number is (4 – x). 1/3 of the first number is x / 3 (to find the fraction of a number, you need to multiply this number by a fraction; 1/3 * x = x / 3). 20% of the second number is equal to 0.2 (4 – x) (to find the percentage of the number, you need to convert the percentage to a decimal fraction, and multiply this number by the resulting decimal fraction; 20% = 0.2). By the condition of the problem, it is known that 1/3 of the first number and 20% of the second number are equal. Let’s make an equation and solve it.

x / 3 = 0.2 (4 – x);

x / 3 = 0.8 – 0.2x;

x = 3 (0.8 – 0.2x);

x = 2.4 – 0.6x;

x + 0.6x = 2.4;

1.6x = 2.4;

x = 2.4: 1.6;

x = 1.5 – the first number;

4 – x = 4 – 1.5 = 2.5 is the second number.

Answer. 1.5; 2.5.