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Quiz of the Month (May 2008)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

  1.  15 * 93 = 1395
  2.  21 * 87 = 1827
  3.  27 * 81 = 2187

Notes.

Half an hour's systematic trial and error with a calculator will reveal the first three solutions. Alternatively, a simple computer routine can be devised.

THIS MONTH'S QUIZ

1. If the larger of two numbers is divided by the smaller, the quotient and remainder are each equal to 2. If five times the smaller is divided by the larger, the quotient and remainder are again each equal to 2. What are the two numbers?

2. A two-digit number x is equal to seven times the sum of its digits, and exceeds by 36 the number formed by writing the digits of x in reverse order. Find x.

3. A four-digit number x equals 462 times the sum of its digits. The number formed by writing the digits of x in reverse order equals 341 times the sum of its digits. Find x.

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© Hector C. Parr (2008)

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