If A and B are digits and the number 2A35B is divisible by 15. What is the value of A and B and the largest value of A and B?
can anybody help me on this problem?
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If A and B are digits and the number 2A35B is divisible by 15. What is the value of A and B and the largest value of A and B?
can anybody help me on this problem?
What do you know about the sum of the digits?Quote:
Originally Posted by rcs
Do you know that
Since 2A35B is divisible by 15, it is divisible by 3 and 5.
Since it is divisible by 5, the last number must be 0 or 5.
Assume the last number is 0, then since it is divisible by 3, the sum of the numbers should be divisible by 3
2+A+3+5+0 = (10 + A) is divisible by 3, and A can only be from
Do the same for if last number is 5.
All the possible numbers
20355
23355
26355
29355
22350
25350
28350
Largest A = 9, Largest B = 5
Largest num = 29355
it is a typo.Quote:
Originally Posted by PlatoWhat do you know about the sum of the digits?
Do you know that
this is correct statement of problem:
If A and B are digits and the number 2A35B is divisible by 15. What is the value of A and B and the largest value of A + B?
i have difficulty when letters are included in a digit of the number...
i cannot imagine how it is being applied sir... need your help on this
thanks
from the book i read the answer is 14... but sad to say that i dont know how they do that... that is why i ask help from here.. thanks
Quote:
Originally Posted by rcs
Read reply #3 carefully. It is complete and correct.
Hmm, 14.... did they ask perhaps for the largest sum of A and B?Quote:
Originally Posted by rcs
yeahQuote:
Originally Posted by ILikeSerena