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Chapter 2: Q75. (page 109)

Write and solve the equation for the sentence “Twelve is one fifth a number” What is the number?

Short Answer

Expert verified

The equation for the given problem is 15x=12.

The value of the number is 60.

Step by step solution

01

Step-1. Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

02

Step-2. Concept of equation.

Equations: - Equations are the statements in which two expressions are equal. The expression can be created by variables, constants, numbers and symbols.

03

Step-3. Solution of the given problem.

The given problem is:

Twelve is one-fifth of a number.

Let the number be x.

The given problem can be written in the form of an equation as:

15x=12

Multiply 5 to both sides of the equation.

5×15x=5×12x=60

Therefore, the number is 60.

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