Question 152
First before we make an equation, we need to define the variables:

if the first number is X, then since they are consecutive the other variable should be (X +1).

Adding those two integers --> = X + (X + 1) --> 2X + 1


The square of their sum is listed thusly --> (2X + 1)^2 = 361

When we take the square of both side (no need to complete the square here) -->

2X + 1 = 19.

We then subtract 1 from both sides --> 2X + 1 - 1 = 19 -1 --> 2X -18.

We divide both sides by 2 --> 2X/2 = 18/2 --> X = 9. 

Since we defined X to be the first number, X + 1 is the next number 
--> X +1 = 9 + 1 = 10.

The comsecutive numbers are 9 and 10