The ratio of two numbers is 3: 5 if you increase each of these numbers by 75 units

| September 14, 2021 | education

The ratio of two numbers is 3: 5 if you increase each of these numbers by 75 units, then the ratio of the smaller number to the larger will be 3/4 find these numbers

Let us denote by x that of the two given numbers, which is the largest.

In the initial data for this task, it is reported that the ratio of the two given numbers is 3: 5, therefore, the second number should be equal to 3x / 5.

Also in the problem statement it is said that if each of the numbers is increased by 75, then the ratio of the numbers obtained will be 3/4, therefore, we can draw up the following equation:

(3x / 5 + 75) / (x + 75) = 3/4;

solving which, we get:

(0.6x + 75) / (x + 75) = 0.75;

0.6x + 75 = 0.75 * (x + 75);

0.6x + 75 = 0.75 * x + 0.75 * 75;

0.6x + 75 = 0.75x + 56.25;

0.75x – 0.6x = 75 – 56.25;

0.15x = 18.75;

x = 18.75 / 0.15 = 125.

Find the second number:

3x / 5 = 3 * 125/5 = 75.

Answer: 75 and 125.



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