The Sum Of Two Numbers Is 528 And Their H.c.f Is 33. The Number Of Pa

1.	The Sum Of Two Numbers Is 528 And Their H.c.f Is 33. The Number Of Pairs Of Numbers Satisfying The Above Condition Is?
Answer» 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). Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9) The number of such pairs is 4. 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). Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9) The number of such pairs is 4.

The Sum Of Two Numbers Is 528 And Their H.c.f Is 33. The Number Of Pairs Of Numbers Satisfying The Above Condition Is?

Answer»

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).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4.

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).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4.

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