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Sagot :
The smallest among five consecutive integers is 19. The sum of 5 integers will be represented by the expression 5x + 10.
Let the first integer to be x. The next consecutive integers will be (x+1), (x+2), (x+3) and (x+4). The sum of these integers is given so representing the equation.
x + x + 1 + x + 2 + x + 3 + x + 4 = 105
Performing addition on Left Hand Side of the equation
5x + 10 = 105
Rewriting the equation -
5x = 105 - 10
Performing subtraction on Right Hand Side of the equation
5x = 95
Rewriting the equation -
x = 95/5
Performing division on Right Hand Side of the equation
x = 19
So, the smallest integer is 19.
Learn more about consecutive integer -
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