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) = ?

# 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) = ?

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## Dheeru8089

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.