Question

Find the integers

Answer 1

First suppose the two integers are x and x+1 (as the two integers are consecutive - acc. to the question)

It is given to you that product of these 2 consecutive integers is 19 more than their sum.

Answer 2

Try to make a relation from this.

You get: \(\color{red}{x(x+1)} = 19 + \color{blue}{x+(x+1)}\)

The term in the red represents product of the consecutive integers.

The term in the blue represents sum of the consecutive integers.

Answer 3

You can solve for x now.

Answer 4

I actually ended up figuring it out. I was making it more difficult than it was lol