Multiple choice

The largest number, which divides $25,73$ and $97$ to leave the same remainder in each case, is

  1. $24$
  2. $23$
  3. $21$
  4. $6$
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A Correct answer
Explanation

The differences between the numbers are 73-25=48, 97-73=24, 97-25=72. The HCF of 48, 24, and 72 is 24.

AI explanation

The largest number that divides 25, 73, and 97 to leave the same remainder is the highest common factor of the differences between the numbers. Calculate the differences between the numbers to get 73 minus 25 equals 48, 97 minus 73 equals 24, and 97 minus 25 equals 72. The greatest common divisor of 48, 24, and 72 is 24, making the largest such number 24.

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