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Linear Equations of One and Two Variables

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Linear Equations of One and Two Variables.Linear equations can have one or more variables. Linear equations occur with great regularity in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state.

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The sum of the present ages of Ram and his mother is 89 years .After 11 years mother’s age will be twice Ram’s age . Find their present ages? : The sum of the present ages of Ram and his mother is 89 years .After 11 years mother’s age will be twice Ram’s age . Find their present ages?

Sushil travelled 300 km by train and 200 km by taxi. It took him % hrs and 30 min. If he travels 260 km by train and 240 km by taxi , it takes 6 min. longer. Find the speed of the train and taxi. : Sushil travelled 300 km by train and 200 km by taxi. It took him % hrs and 30 min. If he travels 260 km by train and 240 km by taxi , it takes 6 min. longer. Find the speed of the train and taxi.

A two digit number is four times the sum of its digits and twice the product of the digits. Find the number. : A two digit number is four times the sum of its digits and twice the product of the digits. Find the number.

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Prof B L Raina
Maths for IIT, AIEEE Entrance,CAT-Quant (Maths)
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