Question

9. I am a multiple of both 9 and 15. I am
less than 200 and more than 150.
Who am I?

Answer 1

Answer:

180

Step-by-step explanation:

9 × 20 = 180

15 × 12 = 180

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Answer 2

The required number is 180    

Given:

"I am a multiple of both 9 and 15. I am less than 200 and more than 150".

To find:

The given numbers

Solution:

Given the required is multiple of both 9 and 15

To find the Least Common Multiple or LCM (9, 15)

Write the given numbers as product of prime factors

⇒ 9 = 3 × 3

⇒ 15 = 5 × 3  

LCM(9, 15) = 5 × 3 × 3 = 45

The Least Common Multiple of 9, 15 = 45

Given that the required number lies in between 150 and 200

Multiply 45 with 4

⇒ 45 × 4 = 180

Therefore, the required number = 180    

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