Question

Find greatest 3 digit number which when divided by 35 40 60 leaves the reminder 3 in each case

Answer 1

Answer:

greatest 3 digit number= 843

Step-by-step explanation:

Answer 2

The greatest 3 digit number which when divided by 35, 40, 60 leaves the reminder 3 in each case is 843.

Step-by-step explanation:

The greatest 3 digit number is 999.

The number given are 35,40 and 60.

We take the LCM of the numbers,

2 | 35  40  60

2 | 35  20  30

2 | 35  10   15

5 | 35   5   15

3 | 7      1     3

7 | 7      1     1

  | 1      1     1

$LCM(35,40,60)=2\times 2\times 2\times 5\times 3\times 7$

$LCM(35,40,60)=840$

When we divide 999 with 840, we get 159 as the remainder and 1 as the quotient.

As the number leaves remainder 3 in each case.

So, the required number is 840+3=843.

Therefore, the greatest 3 digit number which when divided by 35, 40, 60 leaves the reminder 3 in each case is 843.

#Learn more

Find the greatest 3 digit number which when divided by 35 ,40 and 60 leaves the remainder 3 in each case​

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