The sum of two consecutive integers is 125. What is the largest of the two numbers?

Let us assume the small integer to be = x

Then

The second consecutive greater integer = x + 1

The sum of two consecutive integers is already given in the question and it is 125. based on this given information, the answer to the question can be easily reached.

So

x + x + 1 = 125

2x + 1 = 125

2x = 125 - 1

2x = 124

x = 124/2

= 62

Then

The largest of the two integers = x + 1

= 62 + 1

= 63

So 63 is the largest integer among the two consecutive integers. I hope the procedure is not very tough for you to understand.