Four consecutive even numbers sum to 292. What is the smallest of these numbers?
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Answer: C. 70
Explanation
Expressing consecutive even numbers algebraically as x and successive additions forms a linear equation. Summing the four consecutive terms gives four x plus twelve equal to the total sum of two ninety two. Solving the resulting equation isolates the smallest number variable at seventy. Even numbers are integers divisible by two and differ from each other by a constant increment of two. Algebraic word problems can be modeled by assigning variables to unknown numerical sequences. Linear equations are solved by combining like terms and isolating the unknown variable on one side.
Sequence problems build foundational algebraic thinking skills useful for higher level mathematics. Computer programming loops often iterate through consecutive even number patterns for data generation. Mathematical puzzles frequently utilize number properties to test logical reasoning capabilities. Option A suggests seventy four which represents the third number in the consecutive sequence. Option B proposes seventy six which corresponds to the largest number in the sequence. Option D offers sixty eight which is too small and yields an incorrect total sum.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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