Find the largest four-digit number which when divided by 9 and 11 leaves remainders of 7 and 9 respectively.Explain with reason.
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Let the number be x.
When "x" is divided by 9 and 11 it leaves 7 and 9 as remainders respectively.
That means if we add 2 to the number it will be completely divisible or to get the answer we have to subtract 2 from the largest multiple of both 9 and 11(which is the LCM of both).
LCM of 9 and 11 = 99
Largest 4-digit number wich is a multiple of 99 = 9999
9999-2 = 9997(ans)
When "x" is divided by 9 and 11 it leaves 7 and 9 as remainders respectively.
That means if we add 2 to the number it will be completely divisible or to get the answer we have to subtract 2 from the largest multiple of both 9 and 11(which is the LCM of both).
LCM of 9 and 11 = 99
Largest 4-digit number wich is a multiple of 99 = 9999
9999-2 = 9997(ans)
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