CAT 2021 Linear and Quadratic Equations Question (Hard)

Question

Consider the pair of equations and . If , then equals

Accepted Answer

Step 1 We are given the equations x 2 - xy - x 22 quad y 2 - xy y 34 quad We are told that and are asked to find the value of . Step 2 Subtract equation 2 from equation 1 x 2 - xy - x - y 2 - xy y 22 - 34 x 2 - y 2 - x - y -12 Factor the left-hand side x - y x y - x y -12 x y x - y - 1 -12 quad Step

CAT 2021

Quantitative

Linear and Quadratic Equations

Hard

Consider the pair of equations: $x^2 - xy - x = 22$ and $y^2 - xy + y = 34$ . If $x > y$ , then $x - y$ equals

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