Final answer:
The question asks to solve for a number based on the mathematical relationship where three more than twice the sum of a number and half the number equals 105. By setting up an equation and simplifying step by step, we find that the number in question is 34.
Step-by-step explanation:
Understanding the Mathematical Relationship
The question involves finding a number based on a given mathematical relationship. The relationship describes three more than twice the sum of a number and half the number equals 105. To solve this, let x represent the unknown number. The equation can be written as 2(x + x/2) + 3 = 105. Simplifying, we get 2(3x/2) + 3 = 105, which further simplifies to 3x + 3 = 105. Subtracting 3 from both sides gives us 3x = 102. Dividing both sides by 3, we find that x = 34.
This numerical relationship shows us how to approach solving equations by isolating the variable and simplifying step by step. This problem also provides an example of how to work with fractions and whole numbers within an equation.