If 10 is added to four times a certain number, the result is 5 less than five times the number. The number is [[1]].

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answer is 15.

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Detailed Solution

If 10 is added to four times a certain number, the result is 5 less than five times the number. The number is 15.
Assume the number to be x.
Now, as per the question, we have 10 be added to four times the number

⇒ 4 x + 10

Next, 5 less than five times the number

⇒ 5 x − 5

So, using the condition, we can set up an equation as follows,

4 x + 10 = 5 x − 5

4 x + 10 − 5 x = 5 x − 5 − 5 x − x + 10 = − 5 − x + 10 − 10 = − 5 − 10 − x = − 15

− x − 1 = − 15 − 1 x = 15

So, the number is 15.

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