One number is 3.5 times larger than the other. If you subtract 32 from the larger number and add 28

One number is 3.5 times larger than the other. If you subtract 32 from the larger number and add 28 to the smaller number, you get equal results. What are these numbers equal to?

In order to find the numbers, compose and solve a linear equation. We know that the first number is 3.5 times the second.

Let 3,5x be the first number, then the second can be written as x.

And it is also known that if you subtract 32 from the larger number, and add 28 to the smaller number, you get equal results.

3.5x – 32 = x + 28;

We solve the resulting equation:

3.5x – x = 28 + 32;

Here are similar terms.

2.5x = 60;

x = 60: 2.5;

x = 24 – the first number,

then the second number will be 3.5 * 24 = 84.

Answer: The first number is 24 and the second number is 84.