Question

There is a number written on the board. One student increased the number by 23, but another student decreased the same number by 1. The first student’s result was 7 times greater than the result of the second student. What is the number written on the board?

Answer 1

5

Explanation:

let the number =x

x+23=7(x-1)

x+23=7x-7

7x-x=23+7

6x=30

x=30/6=5

Answer 2

5

Explanation:

Let's call the original number x.

So, the first student did x+23, and the other student did x-1.

You know that the first students result was 7 times larger than the other students. So, you can make the equation:

x+23=7(x-1)

x+23=7x-7

Then, do the algebra

-6x=-30

x=5