Ask Question
27 August, 19:26

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 6 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

+2
Answers (1)
  1. 27 August, 19:46
    0
    The smallest integer that Pearl wrote down is 15.

    Step-by-step explanation:

    7 consecutive integers. They are:

    a

    a+1

    a+2

    a+3

    a+4

    a+5

    a+6

    Sum of the integers:

    a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6 = 7a + 21

    6 times the largest of the seven integers.

    The largest is a + 6. So

    7a + 21 = 6 (a + 6)

    7a + 21 = 6a + 36

    7a - 6a = 36 - 21

    a = 15

    The smallest integer that Pearl wrote down is 15.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 6 times the largest of the seven ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers