The sum of three consecutive natural numbers is 1125 , find the numbers. The three numbers in increasing order are , , and

Define First Natural Number: Let x be the first natural number. Consecutive natural numbers increase by 1 each time. Consecutive natural numbers: x, x+1, x+2Set Up Equation: Set up the equation that represents the sum of the three consecutive natural numbers equal to 1125. Equation: x + (x+1) + (x+2) = 1125Simplify Equation: Simplify the left side of the equation x + (x+1) + (x+2) = 1125. x + (x+1) + (x+2) = 1125 (x + x + x) + (1+2) = 1125 3x + 3 = 1125Isolate Variable Term: Isolate the variable term 3x in the equation 3x + 3 = 1125. 3x + 3 = 1125 3x + 3 - 3 = 1125 - 3 3x = 1122Solve for x: Solve for x in the equation 3x = 1122. 3x = 1122 x = 1122 / 3 x = 374Find Consecutive Numbers: Find the three consecutive natural numbers using the value of x. First number: x = 374 Second number: x + 1 = 374 + 1 = 375 Third number: x + 2 = 374 + 2 = 376

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The sum of three consecutive natural numbers is $1125$ , find the numbers. $\newline$ The three numbers in increasing order are $x$ , $x+1$ , and $x+2$ .

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Q. The sum of three consecutive natural numbers is

1125

, find the numbers.

\newline

The three numbers in increasing order are

x

x+1

, and

x+2

Define First Natural Number: Let $x$ be the first natural number. Consecutive natural numbers increase by $1$ each time. Consecutive natural numbers: $x$ , $x+1$ , $x+2$
Set Up Equation: Set up the equation that represents the sum of the three consecutive natural numbers equal to $1125$ . $\newline$ Equation: $x + (x+1) + (x+2) = 1125$
Simplify Equation: Simplify the left side of the equation $x + (x+1) + (x+2) = 1125$ . $x + (x+1) + (x+2) = 1125$ $(x + x + x) + (1+2) = 1125$ $3x + 3 = 1125$
Isolate Variable Term: Isolate the variable term $3x$ in the equation $3x + 3 = 1125$ .
$3x + 3 = 1125$
$3x + 3 - 3 = 1125 - 3$
$3x = 1122$
Solve for x: Solve for x in the equation $3x = 1122$ .
$3x = 1122$
$x = \frac{1122}{3}$
$x = 374$
Find Consecutive Numbers: Find the three consecutive natural numbers using the value of $x$ . $\newline$ First number: $x = 374$ $\newline$ Second number: $x + 1 = 374 + 1 = 375$ $\newline$ Third number: $x + 2 = 374 + 2 = 376$