Respuesta :
The smallest of two integers is 61
Step-by-step explanation:
Let x be the smaller integer
Then the next integer will be:
x+1
According to given statement that the sum of both is 123
[tex]x+ (x+1) = 123\\x+x+1=123\\2x+1=123[/tex]
Subtracting 1 from both sides
[tex]2x+1-1=123-1\\2x=122[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{122}{2}\\x=61[/tex]
The smallest of two integers is 61
Keywords: Linear equations, Variables
Learn more about linear equations at:
- brainly.com/question/2670657
- brainly.com/question/2821386
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The smallest of the two integers is 61
Represent the consecutive numbers with x and y, where x is the smallest of the two numbers.
So, we have the following system of equations
x + y =123
y = x + 1
Substitute x + 1 for x in x + y =123
x + x + 1 =123
Subtract 1 from both sides
x + x =122
Evaluate the like terms
2x = 122
Divide both sides by 2
x = 61
Hence, the smallest of the two integers is 61
Read more about consecutive numbers at:
https://brainly.com/question/10853762