CAT 2025 Linear and Quadratic Equations Question (Hard)

Question

If a-6 b 6 c 4 and 6 a 3 b-3 c 50 , where a, b and c are real numbers, the value of 2 a 3 b-3 c is

Accepted Answer

Given, a-6b 6c 4 --- 1 and, 6a 3b-3c 50 ---- 2 Multiplying eqn 1 with x, ax-6bx 6cx 4x And multiplying eqn 2 with y, 6ay 3by-3cy 50y So, x 6y 2 and 3y-6x 3 So, x 6y 2 ---- 3 and -2x y 1 ---- 4 Multiplying eqn 4 with 6 and subtracting from eqn 3 , 13x -4 So, x - 13 Putting the value of x in equation

CAT 2025

Quantitative

Linear and Quadratic Equations

Hard

If (a-6 b+6 c=4) and (6 a+3 b-3 c=50), where (a, b) and (c) are real numbers, the value of (2 a+3 b-3 c) is

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