Play around with numbers
How many ordered pairs exist so that the number is divisible by 44?
Note: are single digit whole numbers.
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1 solution
2 1 A 5 3 B 4 is divisible by 44. It means its divisible by 11 and 4 too.
Applying divisibility rule of 11,
( A + 9 ) − ( 6 + B ) = 0 m o d 1 1
A − B + 3 = 0 m o d 1 1
Applying divisibility rule of 4, we find that B can be 0, 2, 4, 6, or 8.
Putting all these in equation above give the following pairs only :
(1,4),(3,6),(5,8),(8,0)