In this number analogy, “43 is to 70 as 94 is to ______”. Select the number that completes the pattern so that the same arithmetic rule applies to both pairs.

Introduction / Context:
This analogy question uses a consistent arithmetic difference between each pair of numbers. We are given 43 : 70 and must extend the pattern to 94 : ?. Identifying the exact operation that converts 43 into 70 allows us to apply the same operation to 94 and choose the correct answer from the options.

Given Data / Assumptions:

• First pair: 43 maps to 70. • Second pair: 94 maps to an unknown number. • Options: 121, 134, 144, 169. • We assume a single consistent arithmetic pattern (most likely addition) connects each pair.

Concept / Approach:
The simplest approach is to compute the difference between 43 and 70. If the difference is constant and can be applied to 94 to produce one of the answer choices, we have likely found the intended rule. This question appears to use a direct addition rule rather than a more complicated combination of operations, which is typical for this level of analogy.

Step-by-Step Solution:
Step 1: Determine the difference between 43 and 70. 70 − 43 = 27, so the rule can be interpreted as “add 27”. Step 2: Apply the same rule to 94. 94 + 27 = 121. Step 3: Confirm that 121 appears in the options. It is given as option A. Step 4: No other option arises from adding 27 to 94, so 121 is uniquely determined by this pattern.

Verification / Alternative check:
Suppose we tried another pattern, such as relating the digits of 43 to form 70 (for example, using sums or products of digits). None of these attempts produce 70 cleanly while also giving a value for 94 that matches any option elegantly. The addition of 27, by contrast, is straightforward and consistent across both pairs and leads directly to an answer that is a well known perfect square (11^2 = 121), a common feature in exam questions.

Why Other Options Are Wrong:
• 134: This would require adding 40 to 94, but 70 is not 43 + 40, so the pattern breaks. • 144: This would require adding 50 to 94, which again is inconsistent with the earlier difference of 27. • 169: This corresponds to adding 75 to 94 and does not match the addition used in the first pair.

Common Pitfalls:
Candidates sometimes search for an overcomplicated rule, such as mixing digit sums and squares, especially when options include several perfect squares. However, always check whether a simple arithmetic difference can explain both pairs. Here, the constant +27 rule works neatly, and 121 is the only option that fits this pattern.

Final Answer:
The number that completes the analogy is 121.