Hey there!!
First, Let’s take the number as ‘ x ‘
Given : the bigger number is 18 more than twice the smaller number.
Small number - x
Bigger number - 2x + 18
Their sum = 93
Equation :
x + 2x + 18 = 93
3x + 18 = 93
Subtract 18 on both sides
3x = 75
Divide 3 on both sides
x = 25
Hence , small number is 25
Small number + big number = 93
25 + big number = 93
Big number = 93 - 35
Big number = 68
Hope my answer helps!!