Question

a4273b is a six digit number in which a and b are digit the number is divisible by 72 then 2a-b =4 prove​

Answer 1

Answer:

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Answer 2

Divisible by 72=> Divisible by 9 and by 8

Divisibility test of 9:

[a+6+7+9+b] mod 9 =0

[a+b] mod 9 =5

=> a+b= 5 or 14

Divisibility test of 8:

Last 3 digits should be divisible by 8

=> 79b is divisible by 8

=> b=2 is the only solution

=> a=3 (from a+b=5 or 14, we have just one possible solution for a)

Hence the number is 36792