A divisibility check

Number Theory Level pending

An odd integer between 600 and 800 is divisible by 7 and also divisible by 9. What is the sum of its digits?


The answer is 18.

Sathvik Acharya by Sathvik Acharya , 17, India

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1 solution

Achal Jain
Mar 10, 2017

LCM of 7 and 9 = 63 \text{LCM of 7 and 9}= 63

The Question demands odd integer ∴ the number is 63 × 11 = 693 \therefore \text{the number is} \hspace{1mm} 63 \times 11 =693 and 6 + 9 + 3 = 18 6+9+3=18

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