Mathematics
NULL
Medium
Question
The product of two two-digit numbers is 2160 and their HCF is 12. The numbers are ________?
A
(36, 60)
✓ Official correct answer
B
(12, 180)
C
(96, 25)
D
(72, 30)
Community credibility
Registered members can vote for the answer they believe is correct today and explain why. If the facts change after an election or news event, suggest a new option so others can vote it up.
A
(36, 60)
No member explanations yet for this option.
B
(12, 180)
No member explanations yet for this option.
C
(96, 25)
No member explanations yet for this option.
D
(72, 30)
No member explanations yet for this option.
Explanation
Write numbers as 12a and 12b with gcd(a,b)=1 and 12a×12b=2160 ⇒ ab=15. Coprime pair (3,5) gives 36 and 60.