x/y = 2/3 হলে, (6x+y)/(3x+2y) =?

প্রশ্ন: x/y = 2/3 হলে, (6x+y)/(3x+2y) =?

সমাধান:
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