22. sum of two numbers is 216 and their HCF is 27. The numbers are
27, 189 108, 108
154, 162 81, 189
Answer: 27, 189
Explanation: Let the required numbers be 27x and 27y. Then, 27a+27b=216 ⇒ x + y = 8
Now, primes number with sum 8 are (1, 7) and (3, 5).
Required numbers are (27 x 1,27 x 7) & (27 x 3, 27 x 5) i.e. (27, 189) and (81, 135).
