A fraction $\frac{m}{n}$ is such that when $8$ is added to the numerator, it becomes \

Question

A fraction $\frac{m}{n}$ is such that when $8$ is added to the numerator, it becomes $\frac{1}{2}$. One fifth of the sum of the numerator and denominator is $5$. Write down two equations relating $m$ and $n$.[2] Solve the simultaneous equations in (i) by using either the substitution or elimination method and find the original fraction.[4]

Accepted Answer

(i) $2m - n = -16$ and $m + n = 25$ (ii) $m=3, n=22;$ $\frac{3}{22}$

Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

Solution:

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