What is the largest positive integer 'n' for which there is a unique integer k such that 8/15

Question

What is the largest positive integer 'n' for which there is a unique integer k such that 8/15 < n/(n+k) < 7/13  ?     a) 112   b) 62  c) 125    d) 216  (explain how)

Manu Jindal · Answer

15/8>(n+k)/n>13/77/8>k/n>6/749/56>k/n>48/56Since k is an unique integer,98/112>k/n>96/112k = 97 and n = 112

What is the largest positive integer 'n' for which there is a unique integer k such that 8/15 < n/(n+k) < 7/13 ? a) 112 b) 62 c) 125 d) 216 (explain how)

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