1. The sum of 2 numbers is 61. The greater number is 9 more than the smaller number. Write and solve an equation to find the 2 numbers.

Let the smaller number be x, and the greater is 9 more then the smaller number, therefore greater number is x+9. And there sum is 61, that is

x+x+9=61

2x+9 = 61

And that's the required equation.

Subtracting 9 from both sides

2x = 52

Dividing by 2 to both sides

x = 26.

So the smaller number is 26 and greater number is 26+9=35.

Therefore the numbers are 26 and 35.