If 3x + 4y = 18 and 4x + 3y = 17, what is the value of x + y?

A 5

B 7

C 1

D 35

Solution

Correct Answer: Option A

প্রদত্ত সমীকরণদ্বয়,
3x + 4y = 18 ...............(1)
4x + 3y = 17 ...............(2)

সমীকরণ (1) ও (2) যোগ করে পাই,
(3x + 4y) + (4x + 3y) = 18 + 17
বা, 7x + 7y = 35
বা, 7(x + y) = 35
বা, x + y = 35 / 7
∴ x + y = 5

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