To solve this problem, let's go step by step:
1. Identify the key phrases within the question and understand what each phrase stands for:
The expression "The sum of twice m and three times n" refers to an operation where we multiply 'm' by 2 and 'n' by 3, then add these two results together.
The phrase "is identical to twenty" means that the result of the operation described above (the sum of value twice m and thrice n) equals to 20.
2. Translate the phrases to mathematical form:
Now, we will replace each part of the phrases by the corresponding mathematical symbols or operations:
- "Twice m" can be written as "2m".
- "Three times n" can be written as "3n".
- "The sum of..." means that these values are added together, which can be written as "2m + 3n".
- "Is identical to twenty" implies an equality to 20, which we can represent as "= 20".
3. Write the final result as a complete algebraic expression:
Combining all parts, we get "2m + 3n = 20".
So, the phrase "The sum of twice m and three times n is identical to twenty" can be written as the algebraic equation "2m + 3n = 20".
Answer: "2m + 3n = 20".