Question

Q-2 John has two beepers red and green, green beeper beeps every 35
seconds and red beeper beegs every 45 seconds. After how many
seconds both beepers beeps at the same time?
a) 512
b) 515
c) 315
d) 415​

Answer 1

Answer:

rhe correct ans is 315 seconds

Answer 2

Answer:

After 315 seconds both beepers beeps at the same time.

So, Option C is the correct answer.

Step-by-step explanation:

Given,John has two beepers red and green and green beeper beeps every 35 seconds and red beeper beegs every 45 seconds.

Now we want to find After how many seconds both beepers beeps at the same time ?

If we find the LCM of both times then we can find the answer.

LCM means Lowest Common Multiple.

For example,

We are taking two numbers 10 and 15.

By prime factorization,

$10 = 2 \times 5 \\ 15 = 3 \times 5$

So, lowest common multiple of 10 and 15 is (2×3×5) = 30.

Therefore LCM of 10 and 15 is 30.

Here given digits are 35 and 45.

By prime factorisation,

$35 = 5 \times 7 \\ 45 = 3 \times 3 \times 5$

Hence, lowest common multiple of 35 and 45 is (3×3×5×7) = 315

So LCM of 35 seconds and 45 seconds is 315 seconds.

Therefore,after 315 seconds both beepers beeps at the same time.

Know more about LCM,

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