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