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 answer is 24, if 9 is subtracted from two-thirds of a number, with a result of 7.

Let's represent the given situation in form of an equation

Explanation:

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

Thus, the answer is 24, if the number 9 is subtracted from two-thirds of it with a result equal to 7.