The sum of two numbers, one of which is 9 times the other, is 43.862. Find these numbers.

Let x be the first number, then 9x is the second number. Since the sum of two numbers, one of which is 9 times larger than the other, is equal to 43.862, then we compose the equation:

x + 9x = 43.862;

10x = 43.862;

x = 43.862: 10;

x = 4.3862 – the first number;

2) 9x = 9 * 4.3862 = 39.4758 – the second number;

Answer: 4.3862 – the first number; 39.4758 is the second number.

Explanations. Let’s make the equation this way because adding these numbers should add up to 43.862. Since x + 9x is 10x, then 10x = 43.862. Next, we find x by dividing 43.862 by 10 and we get 4.3862.