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AMO 2027 Grades 6-7 SET 21 - Self-study Question 14

AMO · AMO 2027 Grades 6-7 SET 21 - Self-study

Question 14

The highest common factor of two whole numbers is 20. The lowest common multiple of these two whole numbers is 200. If the sum of these two whole numbers is 140, what is the difference of these two whole numbers?


A. 60

B. 100

C. 120

D. 180

E. None of the above

**Editorial note for this self-study exercise:** The stated positive LCM excludes zero. Enter the nonnegative difference: larger number minus smaller number.