The solution to the problem 122 - {55 - [38 - (20 - 10 + 5)]} is 90. This is calculated by following the order of operations, starting with the innermost brackets and simplifying step by step.
To solve this problem, we need to work with the innermost brackets first, according to the mathematical principle of order of operations which is often remembered by the acronym BIDMAS or PEMDAS (Parentheses/Brackets, Exponents/Indices, Division/Multiplication, Addition/Subtraction).
The given expression is 122 - {55 - [38 - (20 - 10 + 5)]}. If we simplify the innermost bracket first we have:
20 - 10 + 5 = 15
The equation now becomes 122 - {55 - [38 - 15]}.
Simplify the second bracket: 38 - 15 = 23
So the new equation is: 122 - {55 - 23}.
Solve the third set of brackets: 55 - 23 = 32
The resulting equation: 122 - 32.
Finally subtract 32 from 122 to get 90.
Learn more about Order of Operations