find the greatest 5 digits number ,that will give us a remainder of 5 when divided by 8 and 9 respectively?
Bunti360:
answer is 99859
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Find the lcm of 8,9
8 = 2^3
9 = 3^2
LCM = 2^3 * 3^2 = 72
Greatest 5 digit number = 99999
99999 when divided by 72 will leave a remainder 63
So 99999-63 = 99936 is perfectly divisible by 72.
So 99941 is the greatest 5 digit number that will give us a remainder of '5' when divided by 8 and 9.
Hope it helps
8 = 2^3
9 = 3^2
LCM = 2^3 * 3^2 = 72
Greatest 5 digit number = 99999
99999 when divided by 72 will leave a remainder 63
So 99999-63 = 99936 is perfectly divisible by 72.
So 99941 is the greatest 5 digit number that will give us a remainder of '5' when divided by 8 and 9.
Hope it helps
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