Question

59a44b÷36 then maximum value of a+b=?​

Answer 1

Answer:

The number 59a44b is divisible by 36.

Divisibility rules:

Divisibility law of 9 = A number is divisible by 9 if sum of its digit is divisible by 9.

Divisibility law of 8 = A number divisible by 4 if its last two digit is divisible by 4  

The number 59a44b is divisible by 4 if 4b is divisible by 4.

4b is divisible by 4,

if b = 0, 4 or 8

If b = 0, then 59a440  

59a440 divisible by 9 if

5 + 9 + a + 4 + 4 + 0

22 + a (if a = 5)

22 + 5

27 (27 divisible by 9)

If b = 4, then

5 + 9 + a + 4 + 4 + 4

26 + a (if a = 5)

26 + 1

27 (27 divisible by 9)

If b = 8, then

5 + 9 + a + 4 + 4 + 8

30 + a (if a = 5)

30 + 6

36 (36 divisible by 9)

For maximum value, a=6 b=8

 a + b

6+8

14