Solved: "I" - Plainmath

High School

Answered question

2022-05-09

Answer & Explanation

Andre BalkonE

Skilled2023-05-06Added 110 answers

Let's begin solving the problem step by step.
Let

x

be the smaller number and

y

be the larger number.
From the problem statement, we know that:
- The larger number is 12 more than three times the smaller number, so we can write:

y = 3 x + 12

- The sum of the two numbers is 2, so we can write:

x + y = 2

Now we can substitute the first equation into the second equation, since we have expressed

y

in terms of

x

x + (3 x + 12) = 2

Simplifying this equation, we get:

4 x + 12 = 2

Subtracting 12 from both sides, we obtain:

4 x = - 10

Finally, dividing both sides by 4, we get:

x = \frac{- 10}{4} = - \frac{5}{2}

Therefore, the smaller number is

- \frac{5}{2}

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