A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit nu

Question

A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

Options:

A . 10

B . 11

C . 12

D . 15

Answer: Option A
4 a 3 |
9 8 4 } ==> a + 8 = b ==> b - a = 8
13 b 7 |

Also, 13 b7 is divisible by 11 (7 + 3) - (b + 1) = (9 - b)

(9 - b) = 0

b = 9

(b = 9 and a = 1) (a + b) = 10.

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