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In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

In a $\Delta ABC$,$\angle C = 3 \angle B = 2(\angle A + \angle B)$. Find the three angles.

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In the pair of linear equations $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,if $\ldots \ldots \ldots \ldots$,then the system has infinitely many solutions.

For the linear equation of two variables $ax + by + c = 0$,$\ldots \ldots \ldots \ldots$ is not true.

There are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $150$ and the amount in the bag is Rs. $55$. Find the number of coins of each value in the bag.

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