Question

the sum of the cubes of three numbers is in the ratio 1:3:4 is 17576. find the numbers ​

Answer 1

Answer:

Step-by-step explanation:let the first number be 1x

then other numbers are 3x and 4x

then acc. to question   1x^3 + 3x^3 +4x^3 =17576

        8x^3=17576

       x^3=17576/8                transposition

             =2197

          x= cube root 2197

             =13

second number=3*13=39

third number=4*13=52

Answer 2

Numbers are 13 ,  13∛3  , 13∛4  if sum of the cubes of three numbers in the ratio 1:3:4 is 17,576.

Given:

• cubes of three numbers  in the ratio 1:3:4
• Sum of cubes of numbers is 17,576

To Find:

• Numbers

Solution:

Step 1:

Assume that cubes of the Numbers are x³ , 3x³ and 4x³ as ratio is 1:3:4

Numbers are  x , x∛3  , x∛4

Step 2:

Find Sum of the cubes

x³ + 3x³ + 4x³ =8x³

Step 3:

Equate sum with given  17,576 and solve for x:

8x³ = 17576

=> x³ = 2197

=> x =13

Numbers are 13 ,  13∛3  , 13∛4

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