The problem in the image states:

1. The sum of two numbers is 73. The second number is five less than half of the first number. Find the two numbers.

Let’s break this down into equations:

Let the first number be $x$, and the second number be $y$.

1. The sum of the two numbers is 73: $x + y = 73$

2. The second number is five less than half of the first number: $y = \frac{x}{2} - 5$

Now, substitute the second equation into the first:

$x + \left( \frac{x}{2} - 5 \right) = 73$

Simplify this equation:

$x + \frac{x}{2} - 5 = 73$

Add 5 to both sides:

$x + \frac{x}{2} = 78$

Multiply the whole equation by 2 to eliminate the fraction:

$2x + x = 156$

Combine the terms:

$3x = 156$

Solve for $x$:

$x = \frac{156}{3} = 52$

Now that we know $x = 52$, substitute it into the second equation to find $y$:

$y = \frac{52}{2} - 5 = 26 - 5 = 21$

Therefore, the two numbers are 52 and 21.

Let me know if you need further details or explanations! Here are five related questions:

1. What if the sum of the two numbers was a different value, like 80?
2. How would the solution change if the second number were 5 more than half the first?
3. Can this problem be solved using a graphing method?
4. How would you represent this as a system of equations?
5. What are some other methods to solve this type of word problem?

Tip: When working with word problems, always define variables clearly and write out equations step-by-step to avoid confusion.