Two numbers have a highest common factor of 5. The two numbers add up to 35. Show that there are three possible pairs of values for the two numbers.​

Jawaban:

Since the common divisor is 7, lets assume the number to be 7x and 7y.

7x+7y=77

7(x+y)=77

(x+y)=11

All possible pairs for x and y are (1,10),(2,9),(3,8),(4,7),(5,6)

Hence the possible pairs of the two natural numbers are (7,70),(14,54),(21,56),(28,49) and (35,42)