If the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?
Question
If the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?
Solution
Sure, here is the step by step solution:
Step 1: Understand the problem We know that the average of 4 consecutive odd numbers is 60. We need to find the product of the largest and smallest number among these four numbers.
Step 2: Find the numbers The average of 4 numbers is the sum of those numbers divided by 4. So, the sum of these 4 numbers is 60 * 4 = 240.
Since these are consecutive odd numbers, let's assume the numbers are (x-3), (x-1), (x+1), (x+3). The sum of these numbers is 4x, which is 240. So, x = 240 / 4 = 60.
So, the numbers are 57, 59, 61, and 63.
Step 3: Find the product of the smallest and largest numbers The smallest number is 57 and the largest number is 63. So, the product is 57 * 63 = 3591.
So, the product of the largest and smallest number among these four numbers is 3591.
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