There are two numbers where the sum of twice the first number and thrice the second number is 100. And the sum of thrice the first number and twice the second number is 120. Which is the largest number?
Solution
Correct Answer: Option A
মনে করি ,
সংখ্যাদ্বয় =x ও y
প্রশ্নমতে ,
2x+3y=100....(i)
3x+2y=120...(ii)
(i)×2-(ii)×3
4x+6y=200
9x+6y=360
______________________
-5x =-160
বা, x =32
অতএব,
(i)
2×32 +3y =100
বা,64+3y =100
বা,3y =100 -64
বা, 3y =36
বা, y =12
বড় সংখ্যাটি 32.
সংখ্যাদ্বয় =x ও y
প্রশ্নমতে ,
2x+3y=100....(i)
3x+2y=120...(ii)
(i)×2-(ii)×3
4x+6y=200
9x+6y=360
______________________
-5x =-160
বা, x =32
অতএব,
(i)
2×32 +3y =100
বা,64+3y =100
বা,3y =100 -64
বা, 3y =36
বা, y =12
বড় সংখ্যাটি 32.
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