Question

The three numbers are in the ration 2:3:4. The sum of their cubes is 33957. Find the numbers.

Answer 1

Answer:14,21,28

Step-by-step explanation:let the numbers be 2x,3x and 4x

(2x)^3+(3x)^3+(4x)^3=33957

8x^3+27x^3+64x^3=33957

99x^3=33957

x^3=343

x= ³√343

x=7

The nos are 2×7,3×7,4×7=14,21,28

Answer 2

Answer :-

The three numbers are 14, 21 and 28

Explanation :-

Given :

• Ration of three numbers - 2:3:4
• Sum of their cubes - 33957

To find :

The three numbers

Solution :

Let the three numbers be '2x' , '3x' and '4x'

According to question,

=> (2x)³ + (3x)³ + (4x)³ = 33957

=> 8x³ + 27x³ + 64x³ = 33957

=> 99x³ = 33957

=> x³ = 33957/99

=> x³ = 343

=> x = ³√343

=> x = 7

.°. The value of x is 7

Now,

The first number => 2 × 7 = 14

The second number => 3 × 7 = 21

The third number => 4 × 7 = 28