Math, asked by dmilky, 8 months ago


Three numbers are in the ratio of 3:4:5. The
sum of their cubes is 157464 . Find the numbers​

Answers

Answered by akanshaagrwal23
3

Step-by-step explanation:

this will help you

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Answered by Anonymous
2

First number is 27

Second number is 36

Third number is 45

Step-by-step explanation:

Let,

First number = 3x

Second number = 4x

Third number = 5x

The sum of their cubes is 157464

⇒ 27x³ + 64x³ + 125x³ = 157464

⇒ 216x³ = 157464

⇒ x³ = 157464 / 216

⇒ x³ = 729

 =  >  \sqrt[3]{729}  = 9

⇒ x = 9

★ First number = 3x

⇒ 3 (9)

⇒ 3 × 9

⇒ 27

★ Second number = 4x

⇒ 4 (9)

⇒ 4 × 9

⇒ 36

★ Third number = 5x

⇒ 5 (9)

⇒ 5 × 9

⇒ 45

Therefore,

First number is 27

Second number is 36

Third number is 45

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