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The sume of two numbers is 60 and their product is 875.The HCF of the numbers is
6
8
5
7
- We have two numbers. The sum is 60; the product is 875.
- Given the product and sum, the numbers can be found by solving x+y=60 and xy=875.
- The quadratic equation formed is t2−60t+875=0.
- Solving this gives the numbers as 25 and 35.
- The Highest Common Factor (HCF) is the greatest common divisor of any two integers.
- For 25 and 35, the common divisors are 1 and 5.
- Of these, 5 is the highest, making the HCF 5.
- Options provided: 1, 6, 8, 5, and 7.
Option 3: 5 is correct.
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