I need the answers for 21 and 22
1 answer:
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Answer:
Step-by-step explanation:
In order to find the two consecutive numbers, we have to note that a consecutive number is one that is just after the previous.
Such: 4, 5, 6 are consecutive. 12, 69, 42 are not.
Therefore - we can represent our first number as and our second as
.
Let's make an equation based on the problem.
<em>"The sum of two consecutive integers"</em>
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<em> </em>
<em />
<em>"3 times their difference"</em>
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<em> </em>
<em />
We can now set these equal to each other.
Let's solve for x.
<em>(Combine like terms) </em>
<em>(Multiply the right side) </em>
<em>(Subtract 1 from both sides) </em>
<em>(Divide both sides by 2) </em>
<em />
Now we know that our first number is 1. Therefore, since our second number is one greater, our second number will be .
The question asks for the larger number. 2 is larger than 1, therefore 2 is our answer.
Hope this helped!