Question

How many three digit number are divisible by 11. Find their sum also.

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Answer 1

Answer:

121 ,990 , 110 ........

Step-by-step explanation:

Hope it helps .

Answer 2

The sum of all 3 digits divisible by 11 is 44,550.

As we know that, the below numbers which are being divisible by 11, such that

110, 121, 132, 990

The above series looks like the number are in A.P

To find ‘the last term of a series’ is = a + (n-1) d.

Where a = 110, d = 11.

Such that,

990 = 110 + (n-1) 11

880 = (n-1) 11

80 = n - 1

n = 80 + 1

n = 81

Sum of all the digits

n/2 {2a + (n-1) d}

81/2 { 2 (110) + 80 (11) }

81/2 { 220 + 880 }

81/2 { 110 }

81 multiply 550

44550

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