Question

Q6. How many four-digit numbers are three which when divided by 73 or 79 gives remainder 12.

Answer 1

Answer:

First find the LCM of 73 and 79.

Since they are prime numbers, their product is their LCM.

So LCM of 73 and 79 = 5767.

Add 12 to this. We get 5779.

This the number required.

There is no other 4- digit number which gives the required result as any higher multiple of 5767 yields a number of more than 4 digits.

Answer 2

Answer:

First find the LCM of 73 and 79.

Since they are prime numbers, their product is their LCM.

So LCM of 73 and 79 = 5767.

Add 12 to this. We get 5779.

This the number required.

There is no other 4- digit number which gives the required result as any higher multiple of 5767 yields a number of more than 4 digits.

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Step-by-step explanation: