যদি x/y = 2/3 হয়, তবে (6x + y)/(3x + 2y) এর মান কত?

A 5/4

B 4/5

C 14/15

D 20/13

Solution

Correct Answer: Option A

দেওয়া আছে,
x/y = 2/3
⇒ 2y = 3x
⇒ y = (3/2)x
∴ y = 3x/2

এখন,
(6x + y)/(3x + 2y)
= {6x + (3x/2)}/{3x + 2(3x/2)} [ y = 3x/2 ]
= {(12x + 3x)/2}/{3x + 3x}
= 15x/12x
= 5/4

Solution

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