15. Seventeen year and thirteen year locusts both emerged in 1971. When will be the

next time they both emerge in the same year?

Question

Mathematics

Marcus Francis

14 September, 19:10

15. Seventeen year and thirteen year locusts both emerged in 1971. When will be the

next time they both emerge in the same year?

+4

Answers (1)

Know the Answer?

Francis Acosta · Answer 1

Answer: 221 years or in the year 2192

Step-by-step explanation: The 13-year locusts emerge after every 13 years, that is, after every year that is a multiple of 13. The 17 - year locusts emerge after every 17 years, that is, after every year that is a multiple of 17. Therefor, if both 13 - and 17 - year locusts happened to emerge in 1971, such interference would repeat after every x years, where x is a common multiple of 13 and 17. The next interference would occur after the number of years which is the least common multiple of 13 and 17.

15. Seventeen year and thirteen year locusts both emerged in 1971. When will be thenext time they both emerge in the same year?

15. Seventeen year and thirteen year locusts both emerged in 1971. When will be the

next time they both emerge in the same year?