Multiple choice

Let a, b and c be three numbers such that a : b : c = 1 : 2 : 3. Also, the sum of the three numbers is 66. Then, the value of (a + b)(a + c) will be

  1. 1452

  2. 1815

  3. 1089

  4. 432

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let a = k, b = 2k and c = 3k Then, k + 2k + 3k = 66 Also, 6k = 66 Or k = 11 Therefore, a = 11, b = 22, c = 33 Also, (a + b)(a + c) = (11 + 22)(11 + 33) = 33 x 44 = 1452