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The Sum of Three-Fifth of Same number is 56. The number is
To find the unknown number given the sum of three-fifths of the number is 56, set up and solve the equation using the variable x for the number.
by T Santhosh
Updated Jun 13, 2024
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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.
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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.
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