Question

three number are in the ratio 1:2:3. the sum of their cube is 26244. find the number

Answer 1

The numbers are 9,18 &27

solution is given in the pic.

hope this helps!!!

Answer 2

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that three number are in the ratio $1:2:3$ the sum of their cube is $26244$

To Find:-

We have to find that the number.

Solution:-

According to the problem

Let the $1x,2x$ and $3x$ are the three numbers

Sum of their cubes

$=x^3+(2x)^3+(3x)^3\\=x^3+8x^3+27x^3\\=36x^3$

$\therefore 36x^3=26244\\x^3=\frac{26244}{36}\\x=\sqrt[3]{729}\\=9$

The numbers are

$2x=2 \times 9=18\\3x=3 \times 9=27$

Final Answer:-

The correct answer is the numbers are $9,18$ and $27$.

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