Question

find all possible pairs of two natural numbers whose sum is 77 and their gcd 7

Answer 1

Solution :-

Here are the pairs of two natural numbers whose sum is 77 and GCD is 7

1) 1st pair is 7 and 70
 
Sum - 7 + 70 = 77

7 = 7*1
70 = 2*5*7

GCD = 7

2) 2nd pair is 14 and 63

Sum - 14 + 63 = 77

14 = 2*7
63 = 3*3*7

GCD = 7

3) 3ed pair is 21 and 56

Sum = 21 + 56 = 77

21 = 3*7
56 = 2*2*2*7

GCD = 7

4) 4th pair is 28 and 49

Sum = 28 + 49 = 77

28 = 2*2*7
49 = 7*7

GCD = 7

5) 5th pair is 35 and 42

Sum = 35 + 42 = 77

35 = 5*7
42 = 2*3*7

GCD = 7

Answer.