Question
Download Solution PDFThe product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Product of two numbers = 2028
H.C.F. = 13
Formula Used:
Let the numbers be 13a and 13b, where a and b are co-prime (i.e., H.C.F. of a and b is 1).
Then, 13a × 13b = 2028
Calculation:
13a × 13b = 2028
⇒ 169ab = 2028
⇒ ab = 2028 / 169
⇒ ab = 12
The pairs of co-prime numbers (a, b) such that ab = 12 are (1, 12) and (3, 4).
Thus, the pairs of numbers are (13 × 1, 13 × 12) and (13 × 3, 13 × 4).
These pairs are (13, 156) and (39, 52).
Therefore, the number of such pairs is 1.
Last updated on Feb 4, 2025
-> The WEBCSC Bank Assistant 2025 Notification is out, announcing 85 vacancies.
-> Candidates can apply online from 28th January to 27th February 2025.
-> The selection process includes CBT, WBT, and Interview.
-> This exam, conducted by the West Bengal Cooperative Service Commission, recruits candidates for banking positions in cooperative banks.