If 3y + 2x = 47 and 11x = 7y then what is value of y - x ?

A) 4

B) 6

C) 7

D) 5

Correct answer:
A) 4

Description for Correct answer:
Given 3y + 2x = 47 ...(i)

7y - 11x = 0 ....(ii)

From (ii), \( \Large x = \frac{7}{11} y \)

\( \Large \therefore \) Equation (i) reduces to

\( \Large 3y + 2 \times \frac{7}{11} y = 47 \)

=> \( \Large \frac{33y + 14y}{11} = 47 \)

=> \( \Large y = \frac{11 \times 47}{47} = 11 \)

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

\( \Large \therefore \) Required difference

= y - x

= 11 - 7 = 4


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