When 60 is subtract from 60% of number the results is 60, the number is?
Answers
ATQ-
60%ofX-60=60
=60/X-60=60
=60/X=60+60
=60/X=120
=X=120×/60
=X=2×
=X=200(ANSWER)
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Step-by-step explanation:
When 60 is subtracted from 60% of a number, the result is 60, then what is the number?
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Let n = the desired number.
60% of n = 60% x n = (60/100)n = 60n/100.
Since we know that "when 60 is subtracted from 60% of a number, the result is 60," we can rewrite this statement into the following equation in order to solve for the unknown number n:
(60n/100) - 60 = 60
In solving this equation for n, let's first clear the equation of fractions by multiplying both sides by 100 as follows:
100[(60n/100) - 60] = 100(60)
100(60n/100) - 100(60) = 100(60)
(100/100)(60n) - 6,000 = 6,000
(1)(60n) - 6,000 = 6,000
60n - 6,000 = 6,000
Now, adding 6,000 to both sides of the equation in order to begin isolating n on the left side:
60n - 6,000 + 6,000 = 6,000 + 6,000
60n + (-6,000) + 6,000 = 6,000 + 6,000
60n + 0 = 12,000
60n = 12,000
Now, dividing both sides of the equation by 60 in order to finally solve for n:
(60n)/60 = 12,000/60
(60/60)n = 200
(1)n = 200
n = 200
CHECK:
(60n/100) - 60 = 60
(60/100)n - 60 = 60
(60/100)(200) - 60 = 60
(60)(200/100) - 60 = 60
(60)(2) - 60 = 60
120 - 60 = 60
60 = 60
Therefore, n = 200 is the desired number.