SAT Math

Category - Number and Operations

The sum of five consecutive integers is 75. What is the product of the least and the greatest numbers?
  1. 221
  2. 222
  3. 223
  4. 224
  5. 225
Explanation
Answer: A - The product of the least and the greatest numbers is 221. Denote five consecutive integers with n-2, n-1, n, n + 1, n + 2.
(n-2) + (n-1) + n + (n + 1) + (n + 2) = 75
5n = 75
n = 75/5 = 15
(n-2)(n + 2) = n^2-4 = 〖15〗^2-4 = 225-4 = 221
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