If 9 is subtracted from two-thirds of a number, the result is 7. Find the number.
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value
Answer: The number where 9 is subtracted from two-thirds of it with a result equal to 7 is 24
Let's represent the given situation in form of an equation
Let the number be 'x'
According to the question,
If 9 is subtracted from two-thirds of a number, the result is 7
Let's represent this in the form of an equation
(2/3)x - 9 = 7
=> 2x/3 - 9 = 7
=> (2x - 27) / 3 = 7 (By taking LCM of the denominators 3 and 9 on LHS)
=> 2x - 27 = 21
=> 2x = 48
=> x = 24