Question

The sum of the cubes of two numbers is 35. The numbers are in the ratio of 2:3. Find the numbers.

• A. 2 and 3
• B. 3 and 4
• C. 2 and 4
• D. 2 and 5

Answer 1

The correct option is A 2 and 3

Let the numbers be 2x and 3x since they are in the ratio of 2:3. Now their cubes have the sum of 35. This means 8 $x^3$ + 27 $x^3$=35

=> 35 $x^3$ = 35

=> $x^3$ = 1

=> x=1

=> so the numbers are 2 and 3