The smaller of two numbers is 2 less than \(\frac{1}{3}\) the larger. The sum of the two numbers is 50.

Find the value of the numbers.

X larger 1/3-2 smaller
1/3-2+x=50 4/3x=52 x=39

Answered by deathstrike001 | 2024-06-10

The **smaller number **is 11 and **larger **number is 29.
what is Algebra?
A branch of mathematics known as **algebra deals **with **symbols **and the mathematical **operations **performed on them.
Variables are the name given to these symbols because they lack set values.
In order to **determine **the values , these **symbols **are also **subjected **to various addition, subtraction, multiplication, and division arithmetic operations .
Given:
let the **two number **be x and y.
So, x = 1y / 3 - 2
x+ 2 = y/3
y= 3x+ 6
3x - y = -6...(1)
and, x+ y= 50..(2)
Now, **solving **above equation
4x = 44
x= 11
and, y = 39.
Hence, the smaller number is 11 and **larger **number is 29.
Learn more about **Algebra **here:
https://brainly.com/question/24875240
#SPJ2

Answered by sheenuvt12 | 2024-06-16

The smaller number is 11 and the larger number is 39. The equations provided in the problem were solved step-by-step to find these values. By representing the numbers with variables and substituting, we found the solution.
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Answered by sheenuvt12 | 2024-10-01