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QuestionFind the smallest of three consecutive odd numbers that add up to 51. Options: (a) 15 (b) 20 (c) 23 (d) 19 (e) None.

Studdy Solution

STEP 1

Assumptions1. The numbers are consecutive odd numbers. . The sum of these numbers is51.

STEP 2

Let's denote the smallest of the three consecutive odd numbers as x. Then the next two consecutive odd numbers will be x+2 and x+4.

STEP 3

According to the problem, the sum of these three numbers is51. So, we can write the equation asx+(x+2)+(x+)=51x + (x+2) + (x+) =51

STEP 4

implify the equation by combining like terms.
3x+6=513x +6 =51

STEP 5

Subtract from both sides of the equation to isolate the term with x.
3x=51−3x =51 -

STEP 6

Calculate the right side of the equation.
3x=453x =45

STEP 7

To solve for x, divide both sides of the equation by3.
x=45/3x =45 /3

STEP 8

Calculate the value of x.
x=45/3=15x =45 /3 =15So, the least of the three numbers is15. Therefore, the answer is (a)15.

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