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The product of two 2–digit numbers is 2160 and their H.C.F. is 12. The numbers are
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- (12, 60)
- (72, 30)
- (36, 60)
- (60, 72)
Correct Option: C
HCF of numbers = 12
Let the numbers be 12p and 12q where p and q are co–prime.
According to the question,
12p × 12q = 2160
| ⇒ pq = | = 15 | |
| 12 × 12 |
pq = 3 × 5 or 1 × 15
Here , p = 3 , q = 5
∴ Required numbers = 12 × 3 = 36 and 12 × 5 = 60
