The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
Q1. The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
Answer: 4
Explanation: Let numbers be 2x and 3x; (2x)³ + (3x)³ = 8x³ + 27x³ = 35x³ = 280 → x = 2; smallest number = 2×2 = 4.