Question

the four digit number A55B is divisible by 36.
what is the sum of A and B ?​

Answer 1

Answer:

8

Step-by-step explanation:

Given  

the four digit number A55B is divisible by 36.what is the sum of A and B ?

ANSWER

We know that a number is divisible by 2 if the unit’s place is an even number. Now the sum of its digits is divisible by 9 if the number is divisible by 9.

We know that 4 x 9 = 36

So A + 5 + 5 + B = 9 n where n is a whole number and B is even.

Let n = 2, then A + B = 18 – 10 or A + B = 8

Let B = 2, then A = 6

So 6552 / 36 = 182

Let B = 6, then A = 2

So 2556 / 36 = 71

Now A + B = 8