The HCF of two numbers is 16 and their difference is 16. Find the numbers. A.…
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The HCF of two numbers is 16 and their difference is 16. Find the numbers.
A. 64, 80
B. 72, 88
C. 80, 100
D. 96, 120
- A.
D
- B.
C
- C.
B
- D.
A
Attempted by 16 students.
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Correct answer: D
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The HCF of two numbers is 16 and their difference is 16. Let the numbers be 16a and 16b, where a and b are coprime. Then |16a - 16b| = 16, so |a - b| = 1. The only pair among the options with HCF 16 and difference 16 is (64, 80), which corresponds to option A.