Two numbers are in the ratio …
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Sia ? 6 years, 5 months ago
Let the numbers are x and y.
<th scope="row">x</th> <th scope="row">y</th>Given: {tex}\frac{x}{y}{/tex} = {tex}\frac{4}{5}{/tex}
{tex}\Rightarrow{/tex} 5x = 4y
{tex}\Rightarrow{/tex} 5x - 4y = 0 .......(1)
When 30 is subtracted from both x & y, the ratio becomes 1 : 2
{tex}{/tex}i.e. {tex}\frac{x - 30}{y - 30}{/tex} = {tex}\frac{1}{2}{/tex}
{tex}\Rightarrow{/tex} 2x - 60 = y - 30
{tex}\Rightarrow{/tex} 2x - y - 30 = 0.........(2)
Thus the two linear equations are:
5x - 4y = 0 .......(1)
2x - y - 30 = 0.........(2)
Points Coordinate table for 5x - 4y = 0 is
Points Coordinate Table for 2x - y - 30 = 0 is
<th scope="row">x</th> <th scope="row">y</th>Graphical representation of pair of linear equations is shown in graph.
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