find the greatest number of six digits which one being divided by 6,7,8,9 and 10 leaves 5,6,7 and 8 as remainder respectively
Answers
Answered by
4
Answer:
997920
Step-by-step explanation:
First we need to find the common difference between divisors and remainders
Here it is 2
6-4= 2
7-5=2
10-8=2
And the common number of all divisors is obtained by taking LCM of 6,7,8,9,10
LCM of divisors is 2³x3²x5x7 = 2520
now divide the greatest 6 digit number 999999 by 2520 and subtract the remainder from the largest 6 digit number
999999 divided by 2520 leaves a remainder of 2079
so subtract 2079 from 999999
which gives 997920
Now this number when divided by 6,7,8,9,10 leaves remainders of 4,5,6,7,8.
Hope this helps you.
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Answered by
2
Answer:
997920 is the correct answer
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