Let the two numbers be $x$ and $y$.

We are given:

• The sum of the two numbers is 76: $x + y = 76$
• One of the numbers is 43, so let’s assume $x = 43$.

Now, substitute $x = 43$ into the equation: $43 + y = 76$ To solve for $y$, subtract 43 from both sides: $y = 76 - 43 = 33$

Thus, the other number is 33.

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Do you need further details or explanations?

Here are 5 related questions to explore:

1. How can we solve for $x$ if we are given the sum and the value of $y$?
2. What is the concept of solving linear equations?
3. How do you check the solution to an equation?
4. What happens if we are given the difference of two numbers instead of their sum?
5. How can we represent this type of word problem algebraically?

Tip: Always define your variables clearly before starting to solve algebraic equations!