Two times a certain number is subtracted from 25, and the result is the same as when it is added to six times the number. Find the number.
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Answer:
hey buddy here is your answer
hope it helps you
Step-by-step explanation:
If we call the unknown number X, then the first part of your question is 25 minus 2 of the certain number, or 25 - 2X. The second part says this is equal to 5 + 6 times the certain number, i.e. 5 + 6X.
Hence 25 - 2X = 5 + 6X
Adding 2X to each side gives
25 - 2X + 2X = 5 + 6X + 2X
=> 25 = 5 + 8X
Subtracting 5 from each sides gives
25 - 5 = 5 + 8X - 5
=> 20 = 8X
Finally, dividing both sides by 8 gives
20/8 = 8X/8
=> X = 2.5
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