Question

If the number 54872a63b1 divisible by 11 and 3 what will be the possible values for ‘b’ and ‘a’ respectively?

Answer 1

Answer:

a=6,b=0

Step-by-step explanation:

Question: If the number 54872a63b1 divisible by 11 and 3 what will be the possible values for ‘b’ and ‘a’ respectively?

To find: The value of a&b.

Given: The number 54872a63b1 is divisible by 11 and 3 .

Concept: Divisibility rule of numbers.

Explanation:

Divisibility rule of 11:  

We must subtract and then add the digits in an alternating pattern from left to right,

if the result is 0 or 11, then the given number is divisible by 11.

Given,

54872a63b1

= 5-4+8-7+2-a+6-3+b-1

5+8+2+6+b = 4+7+a+3+1

21+b = 15+a

a-b=6 -----(1)

Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

5+4+8+7+2+a+6+3+b+1=45

36+a+b = 42

a+b = 6------(2)

adding (1) and (2)

2a=12

a=6

b=0

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