Question

The sum of the cubes of three numbers which are
in the ratio 1:2:3 is 7776. Find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

Let the numbers be x, 2x and 3x

It is given that sum of there cubes = 7776

So, Equation will be

x^3 + (2x) ^3 + (3x) ^3 = 7776

x^3 + 8x^3 + 27x^3 = 7776

=> 36x^3 = 7776

=> x^3 = 7776 / 36

=> x^3 = 216

=> x = 3√216

=> x = 6

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ANSWER :

First Number = 6

Second Number = 12

Third Number = 18

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HOPE IT HELPS :):):):):)

Answer 2

Gɪᴠᴇɴ :-

The sum of the cubes of three numbers which are in the ratio 1:2:3 is 7776.

ᴛᴏ ғɪɴᴅ :-

Numbers

sᴏʟᴜᴛɪᴏɴ :-

Let the ratio of numbers be 1x : 2x : 3x

Now,

• ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ǫᴜᴇsᴛɪᴏɴ :-

➭ (1x)³ + (2x)³ + (3x)³ = 7776

➭ x³ + 8x³ + 27x³ = 7776

➭ 36x³ = 7776

➭ x³ = 7776/36

➭ x³ = 216

➭ x = ³√216

➭ x = 6

Hence,

➭ Ratio of Numbers = 1x : 2x :3x = 6 : 12 : 18

Therefore

• Numbers are 6 , 12 and 18