QuestionFind the smaller of two consecutive numbers whose sum is 165.
Studdy Solution
STEP 1
Assumptions1. The two numbers are consecutive integers. . The sum of the two numbers is165.
STEP 2
Let's denote the smaller number as . Because the numbers are consecutive, the next number is .
STEP 3
According to the problem, the sum of these two numbers is165. So, we can write the equation as follows
STEP 4
implify the left side of the equation by combining like terms.
STEP 5
Subtract1 from both sides of the equation to isolate the term with .
STEP 6
Calculate the right side of the equation.
STEP 7
Divide both sides of the equation by2 to solve for .
STEP 8
Calculate the value of .
The smaller number is82.
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