Question

3 numbers are to another 2:3:4. the sum of their cube is 0.334125. find the numbers. For class 8​

Answer 1

let the numbers be 2x, 3x, and 4x so that they are in ratio 2:3:4.

now

(2x)^3 + (3x)^3 + (4x)^3 = 0.334125

8x^3 + 27x^3 + 64x^3 = 0.334125

99x^3 = 0.334125

x^3 = 0.334125/99

= 0.030375/9

= 0.003375

x^3 = 0.003375

= 3375/10^6

3375 = 5 x 5 x 5 x 3 x 3 x 3

x = !3375/10^6)^1/3

= 5*3/100

= 0.15

so the numbers are

2x = 2*0.15 = 0.30

3x = 3*0.15 = 0.45

4x = 4*0.15 = 0.60

Answer 2

CORRECT QUESTION :-

★ Three numbers are in ratio 2:3:4 . Sum of their cube is 0.334125. Find the numbers.

GIVEN :-

• Three numbers are in ratio 2:3:4 .
• Sum of cube is 0.334125.

TO FIND :-

• The Numbers.

SOLUTION :-

Let the ratio constant be "x".

★ Numbers are = 2x , 3x , 4x.

☢ ACCORDING TO QUESTION ☢

→ (2x)³ + (3x)³ + (4x)³ = 0.334125

→ 8x³ + 27x³ + 64x³ = 0.334125

→ 99 x³ = 0.334125

→ x³ = 0.334125/99

→ x³ = 0.003375

→ x = ³√0.003375

→ x = 0.15

Therefore Numbers are,

• 1) 2x = 2 × 0.15 = 0.3
• 2) 3x = 3 × 0.15 = 0.45
• 3) 4x = 4 × 0.15 = 0.6