The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above conditions is = ?
A. 4
B. 6
C. 8
D. 12
Answer: Option A
Solution(By Examveda Team)
Let the required numbers be 33a and 33b.Then 33a + 33b = 528
⇒ a + b = 16
Now co - primes with sum 16 are (1, 15), (3, 13), (5, 11) and (7, 9)
∴ Required numbers are (33 × 1, 33 × 15), (33 × 3, 33 × 13), (33 × 5, 33 × 11), (33 × 7, 33 × 9)
The number of such pairs is 4.
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Comments ( 2 )
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Co prime kyu liya gya hae
why (2,14) (4,12) pairs doesn’t count