Find all possible pairs of 2 natural numbers whose sum is 77 and their l.c.M. is 7
Answers
Answered by
1
Since both the numbers have a gcd of 7, they both are multiples of 7.
Therefore they are in the form 7x and 7y.
According to the question
7x+7y=77
x+y=11
1+10=11
2+9=11
3+8=11
4+7=11
5+6=11
6+5=11
7+4=11
8+3=11
9+2=11
10+1=11
Therefore there are 10 pairs of two natural integers whose sum is 77 and their gcd is 7
Therefore they are in the form 7x and 7y.
According to the question
7x+7y=77
x+y=11
1+10=11
2+9=11
3+8=11
4+7=11
5+6=11
6+5=11
7+4=11
8+3=11
9+2=11
10+1=11
Therefore there are 10 pairs of two natural integers whose sum is 77 and their gcd is 7
Similar questions