This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey manjay9804398176, good to see you again. Step 1: Write down the given terms and the mean. The three terms are x-1, 2x+1, and 3x+1. The mean of these terms is 18. Step 2: Use the formula for the mean. The mean of a set of numbers is the sum of the numbers divided by the count of the numbers. Mean = Sum of termsNumber of terms In this case, there are 3 terms. 18 = ((x-1) + (2x+1) + (3x+1))/(3) Step 3: Simplify the equation. First, sum the terms in the numerator: 18 = (x-1+2x+1+3x+1)/(3) Combine like terms (x terms and constant terms): 18 = ((x+2x+3x) + (-1+1+1))/(3) 18 = (6x + 1)/(3) Step 4: Solve for x. Multiply both sides by 3: 18 × 3 = 6x + 1 54 = 6x + 1 Subtract 1 from both sides: 54 - 1 = 6x 53 = 6x Divide by 6: x = (53)/(6) The value of x is (53)/(6). Send me the next one 📸