Correct Answer: Option A
ক = x এবং, খ = y ধরি,
তাহলে,
x/2 + y/3 = 45
or, (3x + 2y)/6 = 45
or, 3x + 2y = 45*6 = 270 .............. (1)
আবার,
2x/5 + y/2 = 50
or, (4x + 5y)/10 = 50
or, 4x + 5y = 500 ..................... (2)
Now,
3x + 2y = 270 .............. (1)
or, 15x + 10y = 1350 .......... (3)
And,
4x + 5y = 500 ..................... (2)
or, 8x + 10y = 1000 ......................... (4)
(3) - (4) থেকে পাই,
15x - 8x = 1350 - 1000
or, 7x = 350
or, x = 350/7 = 50
x এর মান (1) নং এ বসিয়ে পাই,
3*50 + 2y = 270
or, 150 + 2y = 270
or, 2y = 270 - 150
or, 2y = 120
or, y = 60
সুতরাং,
ক = x = 50
খ = y = 60
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