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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- Dec 22nd 2012, 05:00 AM #1

- Dec 22nd 2012, 05:10 AM #2

- Dec 22nd 2012, 05:12 AM #3
## Re: value of A and B

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 $\displaystyle \{0,1,2,3,4,5,6,7,8,9\}$

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

- Dec 22nd 2012, 07:29 AM #4
## Re: value of A and B

it is a typo.

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

- Dec 22nd 2012, 07:33 AM #5

- Dec 22nd 2012, 07:58 AM #6

- Dec 22nd 2012, 08:03 AM #7

- Dec 22nd 2012, 06:20 PM #8