The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
A
4
B
6
C
3
D
2
Correct Option - A Explaination
Let the numbers be 2x and 3x.
(2x)³+(3x)³=280
8x³+27x³=280
35x³=280
x³=8
x=2
The numbers are 4 and 6.