Question

Three numbers are in the ratio 5:3:7. The sum of their cubes is 61875. Find the three numbers

Answer 1

Answer:

25, 15, 35

Explanation:

Ratio= 5:3:7

So the numbers= 5x, 3x, 7x

The cubes of numbers= 5x³, 3x³, 7x³

                                     = 125x³, 27x³, 343x³

Sum of the numbers' cubes= 61875

ATQ, 125x³+27x³+343x³= 61875

         495x³= 61875

         x³= 61875÷495

         x³= 125

         x= ∛125

         x= 5

First number= 5*5

                     = 25

Second number= 3*5

                          = 15

Third number= 7*5

                      = 35

Hope it helps!