The Sum of Three-Fifth of Same number is 56. The number is

The Sum of Three-Fifth of Same number is 56. The number is

The problem states that the sum of three-fifths of a number and the number itself is 56.

Let the number be represented by x.

The equation representing the problem is x + 3x/5 = 56

To combine x and 3x/5, find a common denominator, which is 5.

Combine the fractions to get

8x/5 = 56

8x = 56×5

8x = 280

x = 280/8

​x = 35

The number is 35.

Equations and Variables

To solve mathematical problems using equations, follow the steps below.

• Read the problem carefully to understand what it's asking for. Identify the quantities involved and what needs to be calculated.
• Assign variables to unknown quantities in the problem. For example, use x for unknown numbers or quantities.
• Express the relationships between the quantities using mathematical symbols and operations. This often involves writing equations that represent the given information and what needs to be found.
• Combine like terms, distribute, or apply other algebraic techniques to simplify the equations. This makes it easier to work with and solve.
• Perform operations to isolate the variable you're solving for on one side of the equation. This typically involves undoing addition, subtraction, multiplication, or division that's applied to the variable.
• Carry out the necessary mathematical steps to solve for the variable. This may involve dividing, multiplying, adding, or subtracting both sides of the equation by constants or other terms.
• After finding a solution, substitute the value back into the original equation to ensure it satisfies the conditions given in the problem.