Question 55605
Let x = smaller number,
so x + 2 will be greater number.
We need to devise an equation now.
Three times the smaller number will be 3x
This is 13 less than twice the greater 2(x+2)
so the equation will look like this:
3x - 13 = 2(x+2). Multiply out right hand side to get
3x-13 = 2x+4 Subtract 2x from both sides
3x-2x-13 = 4
x-13 = 4  Add 13 to both sides
x = 4+13
x=17 This is the smaller number
so greater number is x+2 =19
Answer is 17 and 19
Pete