Multiple choice

Find the greatest number which on dividing 70 and 50leaves remainders 1 and 4 respectively

  1. 19

  2. 12

  3. 23

  4. 34

  5. 45
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C Correct answer
Explanation

The number must divide (70-1)=69 and (50-4)=46. The greatest common divisor of 69 and 46 is 23.

AI explanation

To find the greatest number that divides 70 and 50 to leave remainders of 1 and 4 respectively, we must find the highest common factor (HCF) of the differences between the numbers and their remainders. Calculate the differences as 70 - 1 = 69 and 50 - 4 = 46. The HCF of 69 and 46 is 23. The answer is 23.

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