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WAEC Mathematics 2024 Paper

Question : 17

Total: 50

\;\frac{1}{8}

\;\frac{1}{2}

, find the number.

Solution:

Concept:

Setting up an equation from the given fraction problem.

Explanation:

Let the number added be

y

Then the new fraction is

\frac{1+y}{8+y}

Since the result is

\frac{1}{2}

, we write:

\frac{1+y}{8+y} = \frac{1}{2}

Cross-multiply to get:

2(1+y) = 8+y

2+2y = 8+y

Bring like terms together:

2y-y = 8-2

y = 6

Answer:

The required number is

6

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