There are two numbers such that the sum of twice the first and thrice the second is 18, while the sum of thrice the first and twice the second is 17. The larger of the two is?

4
6
8
12

Correct Answer: 4

Explanation:

Let the numbers be x and y ,
Then, 2x + 3y = 18 ....(i),
3x + 2y = 17 ....(ii)
Solving, we get x =3 , y= 4
∴ Largest number = 4

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