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38 votes
Sam jogs every 2 days. He does Pilates every 3 days. Suppose Sam jogs and does Pilates on October 1. What are the next 3 dates on which he will jog and do Pilates? Explain how you know.

User Cryptoplex
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2 Answers

13 votes
13 votes
7th, 13th, 19th hope this helps
User Domke Consulting
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20 votes
20 votes

Answer:

October 7, 13 and 19.

Explanation:

Sam jogs every 2 days and he pilates on every 3 days.

He jogs and pilates on October 1,

We have to calculate the next dates that he will go jogging and pilatting both.

First we will take Least Common Multiple (LCM) of 2 and 3.

LCM of 2 and 3 = 2 × 3 = 6

The next date after October 1 would be = October 1 + 6 = October 7

The next date after October 7 would be = October 7 + 6 = October 13

The next date after October 13 would be = October 13 + 6 = October 19

Therefore, the next 3 dates would be October 7, 13 and 19 that he will go jogging and pilatting.

User LeMiz
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