A three-digit number 3a2 is added to another three-digit number 835 to give the four digit number 11b7 which is divisible by 11. Then the value of (a + b) =?

11
12
9
10

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 11

Concept:

Divisibility rule for ;11 ⇒ Find the sum of the digits in the even places and the sum of the digits in the odd places. If the difference between the two sums is 0 or a multiple of 11, then the given number would be divisible by 11.

Calculation:

3a2 + 835 = 11b7

As 11b7 is divisible by 11

⇒ (1 + 7) – (1 + b) = 0

⇒ 7 – b = 0

⇒ b = 7

3a2 = 1177 – 835 = 342

So, a = 4

∴ (a + b) = 4 + 7 = 11

4 views Answered 2022-09-04 04:29

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