Twice a number added to 5 is divided by the difference between that number and 2 and the result is 21⁄3. Find the number.
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Let the number be = x
Twice a number added to 5 = 2x + 5
difference between that number and 2 = x - 2
Given that 2x + 5 = 21
x - 2 3
cross multiply
3(2x + 5) = 21(x - 2)
6x + 15 = 21x - 42
15 + 42 = 21x - 6x
57 = 15x
x = 57/15
x = 19/5
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