Math

QuestionFind three consecutive natural numbers that add up to 1074. What are the numbers in increasing order?

Studdy Solution

STEP 1

Assumptions1. The numbers are consecutive natural numbers. The sum of these numbers is1074

STEP 2

Let's denote the three consecutive numbers as xx, x+1x+1, and x+2x+2.

STEP 3

According to the problem, the sum of these three numbers is107. So, we can write the equation asx+(x+1)+(x+2)=107x + (x+1) + (x+2) =107

STEP 4

implify the left side of the equation by combining like terms.
3x+3=10743x +3 =1074

STEP 5

Subtract3 from both sides of the equation to isolate the term with xx on one side.
3x=107433x =1074 -3

STEP 6

Calculate the right side of the equation.
3x=10713x =1071

STEP 7

Divide both sides of the equation by3 to solve for xx.
x=1071/3x =1071 /3

STEP 8

Calculate the value of xx.
x=357x =357

STEP 9

Now that we have the value of xx, we can find the other two numbers by adding and2 to xx.
x+=357+x+ =357 +x+2=357+2x+2 =357 +2

STEP 10

Calculate the values of x+x+ and x+2x+2.
x+=358x+ =358x+2=359x+2 =359The three consecutive natural numbers are357,358, and359.

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