Practicing Success
The average of 3 even consecutive integers is 12. What is their product ? |
1640 1690 1650 1680 |
1680 |
If the average of 3 consecutive even integers is 12, then their sum is 12 × 3 = 36 Let the three even integers be x – 2, x and x + 2. So we get the equation as x – 2 + x + x + 2 = 36. x = 12. So the three integers are 10, 12 and 14. Hence their product = 10 × 12 × 14 = 1680.
Alternate Short cut: The average of 3 consecutive even integers is 12, then the numbers will be : (12 - 2), 12, (12 + 2) ⇒ 10, 12, 14 Hence their product = 10 × 12 × 14 = 1680.
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