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# Class 10 math (India)

Modelling real-world scenarios with linear equations: Pair of linear equations in two variablesLinear models word problems: Pair of linear equations in two variablesSolving equations using the elimination method: Pair of linear equations in two variablesSolving systems of equations with substitution: Pair of linear equations in two variables

Solving system of equations using cross multiplication method: Pair of linear equations in two variablesNumber of solutions to systems of equations graphically: Pair of linear equations in two variablesNumber of solutions to systems of equations algebraically: Pair of linear equations in two variablesSystems of equations word problems: Pair of linear equations in two variablesSolving equations reducible to linear form: Pair of linear equations in two variables

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## Get StartedEuclid’s division algorithm

Euclid’s division Lemma states that given positive integers a and b, there exist unique integers q and r satisfying a = b*q + r, 0 ≤ r < b. Euclid's division algorithm gives us a recipe to use this lemma to find the HCF of two numbers.
In this lesson, let's learn how to use Euclid's division algorithm to solve problems such as "find the HCF of 1312 and 125".

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