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WAEC Mathematics 2013 Paper

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Question : 26

Total: 48

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

11
$\;\frac{15}{2}$
5
$\;\frac{5}{2}$

Solution:

Let the number be y, subtract y from 2 i.e 2 - y

2 - y = 4 <

\;\frac{1}{5}

y,

2 - y = $\;\frac{y}{5}$ - 4

2 - y + 4 =

\;\frac{y}{5}

6 =

\;\frac{y}{5}

+ y

6 = $\;\frac{y\;+\;5y}{5}$

6 = $\;\frac{6y}{5}$

multiplying through by 5

6 * 5 = 6y

\;\frac{30}{6}

= y

= 5

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