If x and y are prime numbers the highest common factors of (x + y) and

1.	If x and y are prime numbers the highest common factors of (x + y) and (x - y)?1. 1 or 22. Only 13. Only 24. None of these
Answer» Correct Answer - Option 1 : 1 or 2 Given: x and y are prime numbers Concept Used: Prime numbers have exactly two factors one and the number itself Calculation: Let suppose x is 11 and y is 7 ∴ (x + y) = (11 + 7) = 18 and (x - y) = (11 - 7) = 4 And HCF of (18 and 4) = 2 Again, Let suppose x is 3 and y is 2 ∴ (x + y) = (3 + 2) = 5 and (x - y) = (3 - 2) = 1 And HCF of (5 and 1) = 1 Hence, option (1) is correct

If x and y are prime numbers the highest common factors of (x + y) and (x - y)?1. 1 or 22. Only 13. Only 24. None of these

Answer» Correct Answer - Option 1 : 1 or 2

Given:

x and y are prime numbers

Concept Used:

Prime numbers have exactly two factors one and the number itself

Calculation:

Let suppose x is 11 and y is 7

∴ (x + y) = (11 + 7) = 18 and (x - y) = (11 - 7) = 4

And HCF of (18 and 4) = 2

Again, Let suppose x is 3 and y is 2

∴ (x + y) = (3 + 2) = 5 and (x - y) = (3 - 2) = 1

And HCF of (5 and 1) = 1

Hence, option (1) is correct

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If x and y are prime numbers the highest common factors of (x + y) and (x - y)?1. 1 or 22. Only 13. Only 24. None of these

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