Solution:
The question is an example of word problems.
We develop the sentences into mathematical equations to get the possible solutions.
Part A:
From the statements given, the following can be deduced,
Therefore, the equation that represents the clue is 3x + 2y = 34
To find the two possible pairs of numbers Diego could be thinking of,
We can plot the equation on a graph showing the straight line.
The points on the straight line satisfy the equation.
However, the pairs that are positive numbers (positive integers) are shown;
Hence, the possible pairs of numbers Diego could be thinking of in the form (x,y) are;
Part B:
From the statements given, the following can be deduced,
Therefore, the equation that could represent the description is;