When a number is subtracted from 2 the result e... - WAEC Mathematics 2013 Question
When a number is subtracted from 2, the result equals 2 less than one-fifth of the number. Find the number
A
11
B
\(\frac{15}{2}\)
C
5
D
\(\frac{5}{2}\)
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Correct Option: C
Let the number be y, subtract y from 2 i.e 2 - y
2 - y = 4 < (\frac{1}{5}) x y, 2 - y = 4 < (\frac{y}{5})
2 - y - 4 < (\frac{y}{5})
2 - 4 - y (\frac{x}{5} - 4), multiplying through by 5
5(2 - x) = 5((\frac{x}{5})) - 5(4)
10 - 5x = x - 20
-5x - x = -20 - 10
-6x = -30
x = (\frac{-30}{-6})
= 5
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