Question

Two numbers are in the ratio 2:3. If the sum of their cubes is 35000,
the numbers are

Answer 1

In context to question asked,

We have to determine the value of numbers.

As per question,

Two numbers are in the ratio 2:3.

The sum of their cubes is 35000,

So, let the number by 2x and 3x

So, from above,

We can say that,

$2x+3x=35000\\=>5x = 35000\\=>x = \frac{35000}{5}\\=>x = 7000$

Hence, value of the number will be

$2x = 2\times 7000 = 14000\\3x = 3\times 7000 = 21000$

Answer 2

Answer:

20 and 30

Step-by-step explanation:

Given:

the ratio of numbers are 2:3

the sum of cubes is 35000

numbers =?

Let the number be x

Now numbers are 2x and 3x

now the sum of their cubes is 35000

∴ (2x)³ + (3x)³ = 35000

⇒ 8x³ + 27x³  = 35000

⇒ 35x³ = 35000

⇒ x³ = 35000/35

⇒ x = ∛1000

⇒ x = 10

Now numbers are 2x = 2 × 10 = 20

3x = 3 × 10 = 30