Math, asked by venkat25098, 1 month ago

What are the values of M and N respectively if 1M39048458N is divisible by both 8 and 9, where M and N are single-digit integers?

Answers

Answered by geetkappur
1

Answer:

M=8

N=4

18390484584 is the required number.

Step-by-step explanation:

For any number to be divisible by 9, divisibility rule states that the sum of all the digits should either be 9 or a multiple of 9.

hence, 1+M+3+9+0+4+8+4+5+8+N=9c( where c is some random number, which is taken just for convenience, and really does not mean anything because sum of digits for any multiple of 9 is also 9 )

equation M+N+42=9c

also, as per divisibility rule for 8, last 3 digits should be divisible by 8.

hence, 58N should be divisible by 8

so, N =4, since only 584 is exactly divisible by 8.

now, coming to earlier equation,

M+N+42=9c

M+46=9c

M+46=54

M=8

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