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IPMAT/Algebra
Academic discussion and doubt solving for: Progression & Series, Inequalities, Linear Equation, Functions, Modulus, Minima & Maxima, Polynomials, Identities, Indices
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First divide 45 into the product of two numbers using factorisation. Write down all the possible pairs. For example 15x3 |x|+3=15 give x as +12,-12 and |y|-4=3 gives y=7,-7 this forms 4 pairs(2×2) remember that +0,-0 is the same. This is how I would have done the question. We need to also consider the case of 3x15 in the same way and reject the cases where |x|,|y| are coming out to be negative which is not possible.