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Average of 7 consecutive even numbers is 32. Which number is the largest of the 7 numbers?1). 362). 343). 384). 40 |
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Answer» Let the 7 consecutive even NUMBERS be x, (x + 2), (x + 4), (x + 6), (x + 8), (x + 10) and (x + 12). Given, Average of 7 consecutive even numbers = 32 ⇒ Sum of 7 consecutive even numbers = 32 × 7 = 224 ⇒ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + 12 = 224 ⇒ 7x + 42 = 224 ⇒ x = 182/7 = 26 ∴ The LARGEST of the 7 numbers = 26 + 12 = 38 |
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