Multiple choice

Two three digit numbers have their HCF 29 and LCM 4147. The sum of the number is -

  1. 966

  2. 696

  3. 669

  4. 666
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For two numbers with HCF 29, let them be 29x and 29y where x,y are coprime. Then LCM = 29xy = 4147, so xy = 143. The pairs are (11,13) giving numbers 319 and 377. Sum = 319+377 = 696.

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