Multiple choice

Of the three numbers, the ratio of first and second is (8 : 9) and that of second and third is (3 : 4). If the product of the first and third numbers is 2400, find out the second number:

  1. 40

  2. 60

  3. 45

  4. 50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let first = 8x, second = 9x from the first ratio. From second:third = 3:4, let second = 3y, third = 4y. Equating both expressions for second: 9x = 3y, so y = 3x. Then third = 12x. Given (first)(third) = (8x)(12x) = 96x² = 2400, so x² = 25 and x = 5. Second = 9(5) = 45. Options A (40), B (60), and D (50) don't satisfy the ratio conditions.

Keep practicing — related questions