If the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?Options94513487359135217627
Question
If the average of 4 consecutive odd numbers is 60. What is the product of largest and smallest number among these four numbers?Options94513487359135217627
Solution
The average of 4 consecutive odd numbers is 60, which means the sum of these 4 numbers is 60*4 = 240.
Consecutive odd numbers increase by 2 each time. So, if the first number is x, the next three numbers will be x+2, x+4, and x+6.
So, x + (x+2) + (x+4) + (x+6) = 240.
This simplifies to 4x + 12 = 240.
Subtract 12 from both sides to get 4x = 228.
Divide both sides by 4 to get x = 57.
So, the four numbers are 57, 59, 61, and 63.
The product of the smallest and largest numbers is 57*63 = 3591.
So, the answer is 3591.
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