Ask Question
31 January, 01:28

twice the sum of the third part of a number plus 5 is equal to three quarters of that number minus two. what is the number?

+5
Answers (1)
  1. 31 January, 01:35
    0
    Answer: The number is 84

    Step-by-step explanation: First of all, let the number be x. The third part of the number can be written as x/3. Twice the sum of that plus five can be written as 2 (x/3) plus 5.

    2 (x/3) can be re-written as 2x/3. Hence we have (2x/3) + 5 on one side of the expression.

    Also three quarters of that number can be written as 3/4 times x which can also be written as 3x/4. Three quarters of that number minus two can now be written as (3x/4) - 2 on the other side of the expression

    Hence we now have,

    (2x/3) + 5 = (3x/4) - 2

    We need to have a common denominator for each side of the equation, hence

    (2x + 15) / 3 = (3x - 8) / 4

    By cross multiplication we now have

    4 (2x + 15) = 3 (3x - 8)

    By expanding the brackets we now have

    8x + 60 = 9x - 24

    By collecting like terms we have

    60 + 24 = 9x - 8x

    84 = x
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “twice the sum of the third part of a number plus 5 is equal to three quarters of that number minus two. what is the number? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers