Sunil is 48 years old. He is 7 years less than 5 times his daughter's age. What is his daughter's age?

 Q.  Sunil is 48 years old. He is 7 years less than 5 times his daughter's age. What is his daughter's age?

Solution:- 

Let the daughter's age is x

According to Question 

        ⇒    5 x - 7 = 48

        ⇒    5 x = 48 + 7

        ⇒    5 x = 55

        ⇒    x = 55/5

        ⇒    x = 11 Ans

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Key Facts:- 

• A statement of equality like 6 + x = 11, which contains an unknown quantity is called an equation.
• Statement like x < 4 and x >  7 are called inequalities or in equations.
• Any equation consists of left side, an equal sign ('=') and a right side.   

                                                            Left side = Right side

• A number which satisfies an equation is called the solution or root of the equation. for e.g. the solution of the equation 5 + x = 7 is 2. In other words, the value of x, called the variable, which makes the given equation a true statement, is the solution of the root of the equation.
• The same number can be added to both sides of an equation. 
• The same number can be subtracted to both sides of an equation. 
• Both sides of an equation can be multiplied by the same number.
• Both sides of an equation can be divided by the same number.
• Any number may be transferred from one side of an equation to the other if we change its sign    (+ to -, - to +)