Question

Find the smallest number which decreased by
15 is a multiple of 125 and 225​

Answer 1

Answer:

1140

Step-by-step explanation:

Firstly find the LCM of the given numbers (i. e. 125 and 225) which would give you the smallest number divisible by them. You would obtain the LCM as 1125. Now, as we are told that the number when decreased by 15 is multiple of the given numbers, so we will add 15 to it so that when we decrese the number we will obtain the LCM and will be divisible by 125 and 225.

Hence 1125+15=1140

Hope it helps!!

Answer 2

The smallest number which decreased by  15 is a multiple of 125 and 225​ is 1140

Explanation:

To find : the smallest number which decreased by  15 is a multiple of 125 and 225​.

First we find the smallest number which is is a multiple of 125 and 225​.

Prime factorization of 125 = 5 x 5 x 5

Prime factorization of 225 = 5 x 5 x 3 x 3

⇒ Least common multiple of 125= 5 x 5 x 5 x 3 x 3 = 1125

If we add 15 to it , we get our required number = 1125+15=1140

Hence, the smallest number which decreased by  15 is a multiple of 125 and 225​ is 1140.

# Learn more :

Find which is the smallest number which is a multiple of 12 16 24​

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