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The cost of pencil is half …

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The cost of pencil is half of the cost of pen, cost if two pencils and one pen is Rs20 then represent the situation in Algebracilly or geometrically and find the solution for linear equation in two variables

Posted by Het Patel 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajan Kumar Pasi 6 years, 7 months ago

Very silly question.
Try to improve your imagination and thought process.
Solution: Let the cost of one pencil = Rs. {tex}\large x{/tex}

and Let the cost of one pen = Rs. {tex}\large y{/tex}

Now, the first sentence: The cost of pencil is half of the cost of pen {tex}\huge \implies x=\frac y2; \space \space \space\implies y=2x ; \space \space \space\implies 2x-y=0{/tex}

Now, the second sentence: If the cost of two pencils and one pen is Rs. 20 {tex}\huge \implies 2x+y=20{/tex}

Adding both the equations, we get: {tex}\huge \implies 4x=20 \space;\space\space \boxed {x=5} {/tex}

Putting the value of "x" in any of the two equation gives the value of "y", we get: {tex}\huge \implies y=2x \space;\space\space y=2\times5 \space;\space\space \boxed {y=10} {/tex}

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