kararaljanabi77, this is the solution:
Let x to represent the smaller number
Let 4x + 9 represent the larger number
Therefore, the equation to solve for x is:
x + 4x + 9 = 69
Like terms:
5x = 69 - 9
5x = 60
Dividing by 5 at both sides:
5x/5 = 60/5
x = 12
The smaller number is 12, now let's find the larger number:
4x + 9
4 * 12 + 9
48 + 9
57
The larger number is 57