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1. The smallest of three consecutive even integers is 40 less then three times the largest . What is the largest of three integers ?
- A. 18
- B. 18
- C. 18
- D. 18
Answer: Option A
Explanation:
The smallest of three consecutive even integers is 40 less then three times the largest . What is the largest of three integers ?
Let the integers be, N - 2, N and N + 2. respectively.
Now, (N - 2) = 3 x (N + 2) - 40
or, N - 2 = 3N + 6 - 40
or, 3N - N = 40 - 6 - 2
or, 2N = 32
or, N = 16
So, the largest even integer = N + 2 = 16 + 2 = 18
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