Find a possible pair of natural numbers whose sun is 77 and their g.c.d.is 7?

2 answers

What is g.c.d.?
Greatest common divisor, I presume.

a + b = 77

Since a and b are both divisible by seven,

7p = a
7q = b

=> 7(p +q) = 77
=> p + q = 11

So if you take any two values for p and q the sum of which is 11, you will get the two required values of a and b.