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If 4x + 5y = 83 and \( \Large \frac{3x}{2y} \) = \( \Large \frac{21}{22} \) then what is the value of y - x ?

A) 3
B) 4
C) 7
D) 11

Correct Answer:


B) 4

Description for Correct answer:
4x + 5y = 83 ....(i)

\( \Large \frac{3x}{2y} = \frac{21}{22} \) => \( \Large \frac{x}{y} = \frac{21}{22} \times \frac{2}{3} \) = \( \Large \frac{7}{11} \)

=> x = \( \Large \frac{7}{11}y \) ....(ii)

From equation (i),

\( \Large 4 \times \frac{7}{11}y \) + 5y = 83

=> 28y + 55y = 913

=> 83y = 913

=> y = \( \Large \frac{913}{83} \) = 11

From equation (ii),

x = \( \Large \frac{7}{11} \times 11 \) = 7

\( \Large \therefore \) y - x = 11 - 7 = 4

Part of solved Linear Equations questions and answers : >> Aptitude >> Linear Equations

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