The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, then find the second number.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 96
Let the three numbers be a, b and c.
a : b = 2 : 3.
b : c = 4 : 5.
On solving both the ratios we get a : b : c = 8 : 12 : 15.
a + b + c = 280
8x + 12x + 15x = 280
35x = 280
x = 8.
Second number = 12x = 12 × 8 = 96.