2 subtracted from one fifth of a number gives 2 find the number
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When a number is subtracted from 2, the result is 4 less than one-fifth of the number. What is the number?
Let’s call the number n. So now we have an equation:
2 - n = ¹/₅ n − 4
Next, we have to add four to each side and then we have to add n to each side in order to isolate the variable. This gives us:
6 = 1¹/₅ n
6/1 = 6n/5
After this, we need to cross multiply, meaning we have to multiply the numerator of each side by the denominator of the other side and make them equal to each other. You end up with:
6 × 5 = 6n × 1
30 = 6n
Lastly, we just divide each side by six and we get that n = 5. To check, we can just plug five back into the equation for n and see if it works.
2 - 5 = ¹/₅ × 5 −4
−3 = −3
That is true, so it works and n = 5.
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