Math, asked by yadavankit6088, 1 year ago

Find the greatest number of 5 digits, that will give us a remainder of 5, when divided by 8 and 9 respectively.

Answers

Answered by aquialaska
34

Answer:

The greatest number of 5 digits,that give remainder of 5 when divided by 8 and 9 respectively is  99941.

Step-by-step explanation:

Given numbers are 8 and 9.

To find: Greatest 5-digit number which leaves 5 as remainder when divided by given numbers.

Greatest 5-Digit number = 99999

LCM of 8 and 9,

8 = 2 × 2 × 2

9 = 3 × 3

LCM = 2 × 2 × 2 × 3 × 3 = 72

Now, dividing 99999 by 72.

we get,

Quotient = 1388

Remainder = 63

So, the greatest 5-digit number divisible by 8 and 9 = 99999 - 63 = 99936

Required number = 99936 + 5 = 99941

Therefore, The greatest number of 5 digits,that give remainder of 5 when divided by 8 and 9 respectively is 99941.

Answered by mohitgurjar59
18

Answer:

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