The cycles for two different events are shown in the table. Each of these events happened in the year 2000. What is the next yea

Question

3 years ago

5

r in which both will happen if the summer Olympics cycle is 4 and the U.S census cycle is 10?

2 answers:

Umnica [9.8K] · Answer 1 · 2022-03-02T05:04:46+03:00

7 0

The answer is 2020 (the LCF for 10 and 4 is 20)

krok68 [10] · Answer 2 · 2022-03-02T06:13:34+03:00

Answer with explanation:

Cycle for Summer Olympics =14

Cycle for Census =10

We have to find the year in which both will fall together.

Among H C F and L C M, Lowest common multiple gives the greatest number which is divisible by both the numbers that is 14 and 10.

14= 2 × 7

10 = 2×5

L C M of 14 and 10 = 2 × 5×7= 70

So, in 2070 ,the two summer Olympics as well as US census cycle will fall.