To find: The number.

Question

averes8 · Accepted Answer

Given information:
The number is x.
Concept used:
Consider the general strategy to solve the word problem:
Understand the problem.
Translate the problem into an equation.
Solve the equation.
Consider the following steps to solve the linear equation in one variable:
If an equation contains fractions or decimals, multiply both sides by the LCD to clear the equation of fractions or decimals.
Use the distributive property to remove parentheses if they are present.
Simplify each side of the equation by combining like terms.
Get all variable terms on one side and all numbers on the other side by using the addition property of equality.
Get the vaiable alone by using the multiplication property of equality.
Check the solution by substituting it into the original equation.
Translate the problem into an equation as,

x + \frac{2}{3} x = 35

\frac{x \cdot 3}{1 \cdot 3} + \frac{2}{3} x = 35

\frac{3 x}{3} + \frac{2}{3} x = 35

\frac{3 x + 2}{3} \cdot 3 = 35 \cdot 3

Sumplify further,

3 x + 2 - 2 = 105 - 2

\frac{3 x}{3} = \frac{103}{3}

x = \frac{103}{3}

Therefore, the numbers is

\frac{103}{3} .

To find: The number.

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