There are two numbers such that the sum of twice the first number and thrice the second number is 39. Also, the sum of thrice the first number and twice the second number is 36. The largest of the two numbers is?

A21

B15

C9 ✓ Correct

Correct answer: (C) 9

Explanation

The larger number is 9.

2x + 3y = 39 and 3x + 2y = 36.

Adding: 5x + 5y = 75, so x + y = 15.

Subtracting: x - y = -3.

x = 6, y = 9; larger = 9.

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