Math, asked by Rounak611, 8 months ago

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.

Answers

Answered by nimishbatra0712
12

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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