Multiple choice

The average of A, B and C is 51. B = 2C and the sum of B and C is equal to 126. Find the value of (2A - C).

  1. -15

  2. -12

  3. 14

  4. 12

  5. 20
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average of A, B, C is 51, so A + B + C = 153. B + C = 126, so A = 153 - 126 = 27. Since B = 2C and B + C = 126, 3C = 126, so C = 42. Then 2A - C = 2(27) - 42 = 54 - 42 = 12.

AI explanation

From B = 2C and B + C = 126, substituting gives 2C + C = 126, so C = 42 and B = 84. The sum of A, B and C is 3 times 51, which is 153; therefore, A equals 153 minus 126, which is 27. Calculating (2A minus C) gives 2 times 27 minus 42, equaling 12.

Keep practicing — related questions