Question

2 numbers in the ratio 1:2 .sum of their cubes is1125!.the numbers are

Answer 1

Answer:

Let the Numbers be n and 2n respectively.

• According to the Question :

↠ Sum of Cubes of Numbers = 1125

↠ (n)³ + (2n)³ = 1125

↠ n³ + 8n³ = 1125

↠ 9n³ = 1125

• Dividing both term by 9

↠ n³ = 125

• Cubing Root Both Sides

↠ n = 5

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☢ NUMBERS :

⟶ First = n = 5

⟶ Second = 2n = 2(5) = 10

∴ The Numbers are 5 & 10 respectively.

Answer 2

Answer:

$\boxed{\sf The\:two\:numbers\:are\:5\:and\:10}$

Step-by-step explanation:

Let the two numbers be x and 2x.

★ According To The Question:

→ x³ + 2x³ = 1125

= x³ + 8x³ = 1125

= 9x³ = 1125

= x³ = 1125/9

= x³ = 125

→ After that, there will be cubing root 3√ both sides, and the answer will be :

= x = 5

→ So, 5 is the required number. Now, we will put in into “x“ and “2x” :

• x = 5
• 2x = 2(5) = 10

→ The two numbers are 5 and 10.

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