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

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.

To find a pair of natural numbers whose sum is 77 and their greatest common divisor (gcd) is 7, we need to determine two numbers that satisfy these conditions.

First, let's list down all the factors of 7: 1, 7.

Since the sum of the numbers is 77, we can assign one number to be 7 (as their gcd is 7). Now we need to find the other number in the pair.

Let's call the second number 'x'. The equation representing the sum of the two numbers can be written as: 7 + x = 77.

To find the value of 'x', we can subtract 7 from both sides of the equation: x = 77 - 7 = 70.

Therefore, a possible pair of natural numbers that satisfy the given conditions is 7 and 70, with a sum of 77 and gcd of 7.