Select the correct answerIf the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?Options76279451359134873521
Question
Select the correct answerIf the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?Options76279451359134873521
Solution
Sure, let's solve this step by step:
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We know that the average of 4 consecutive odd numbers is 60. This means that the sum of these 4 numbers is 4*60 = 240.
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Since these are consecutive odd numbers, we can represent them as (x-3), (x-1), x, (x+1), where x is the average of the second and third numbers.
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Adding these 4 numbers gives us 4x-4 = 240. Solving this equation gives us x = 61.
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Therefore, the four consecutive odd numbers are 57, 59, 61, and 63.
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The product of the smallest and largest numbers is 57*63 = 3591.
So, the correct answer is 3591.
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