Math, asked by Anonymous, 7 months ago

$ Q. Find the no. which when divides by 9 gives 8.$ . $<body aquacolor=b>$ $\large\orange{}$ $$ $<marquee>PLEASE SOLVE FAST </marquee>$

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Answered by Anonymous

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This is a question of multiple Divisors and same Remainder.

Although initially it may seem that the Remainders are different, but when we take their negative counterparts, its the same always.

As we get the same Remainder in case of all the divisors, so the number can be calculated as:

N = [LCM of Divisors + Remainder]…. (eq 1)

So, N = LCM(1,2,3,4,….,9,10) + (-1)

Or, N = 2520 - 1

$\red{\boxed{\boxed{\boxed{\pink{N = 2519}}}}}$

Note: 2519 is the least such number. In general the number is in the form (2520k -1), where k is any natural number.

Answered by TheDivineSoul

Thank you ☺✌..

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