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Difficult algebra problems

NCERT solutions for class 10 maths Chapter 3 Linear Equations 7 Problem collection

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In this seventh and last part of the series on Pair of linear equations in two variables, solutions to the Exercise 7 of NCERT Class 10 Maths Chapter 3, in short, Ex 3.7 Class 10 are explained in details. The problem set is challenging, and so for quick and easy solution a few special methods are introduced...

How to solve a difficult SSC CGL level algebra question by variable ratio equality in a few steps 18

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Problems based on variable ratio equality may seem to be quite tough in competitive test environment unless you know the underlying concept. The chosen problem with its solution highlights use of the concept for quick mental solution of the apparently hard algebra problem...

How to solve a difficult surd algebra question by repeated componendo dividendo in a few steps 17

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The problem we have chosen this time is to highlight, Importance of recognition of simplifying powerful patterns inherent in a difficult problem, the power of Componendo dividendo to speed up solution considerably, and the unfailing effectiveness of principle of interaction of inverses if you can recognize its presence and apply it...

Componendo dividendo uncovered to solve difficult Algebra problems quickly 5

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Occasionally the distinctive expression appears in one of the expressions, but its inseparable pair, the fraction of the two variables, is not readily available in the problem statement. We say in these cases that componendo dividendo appears in partial form, and the problem is of hidden componendo dividendo type. We need to change the given expression to match the target expression in such cases...

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