1/3 of a number is added to 5.the result is one and half times the original number.find the number.with workings.

1/3 x + 5 = 3/2 x

Did you know?

Did you know that you can use algebra to solve problems like finding an unknown number? For example, if we let the unknown number be represented by "x," we know that (1/3)x + 5 is equal to 1.5x. By solving this equation, we can find the value of x. Here's how: (1/3)x + 5 = 1.5x First, let's get rid of the fraction by multiplying the whole equation by 3: 3 * [(1/3)x + 5] = 3 * 1.5x This simplifies to: x + 15 = 4.5x Next, let's isolate the variable x by subtracting x from both sides: x - x + 15 = 4.5x - x This simplifies to: 15 = 3.5x Lastly, divide both sides of the equation by 3.5 to solve for x: 15 / 3.5 = x The result is x ≈ 4.29. Therefore, the number is approximately 4.29. Algebra allows us to solve complex problems like this and can be a helpful tool in various fields of study.