Question

The number A4273B is a six-digit integer in which A and B are digits, and the number is divisible by 72. Find the value of A and the value of B.

Answer 1

Answer:

2 answers · Mathematics  

Best Answer

it is divisible by 8 * 9  

as it is divisible by 8 so last 3 digits divisible by 8  

this is so because 1000 is divisible by 8  

now 730 divided by 8 leaves 2 so 736 is last 3 digits  

so b = 6  

A42736 is divisible by 9  

so some of digits divisible by 9  

A+ 22 has to be 27 or A = 5  

so A =5  

b = 6

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