Question

The sum of cubes of three numbers is 9125. Also the three numbers are in the ratio 1:2:4. Find the three numbers ​

Answer 1

Answer:

Step-by-step explanation:

let the three numbers be x,y,z

given x:y:z=1:2:4

let us take x=k y=2k z=4k  where k is constant

given x³+y³+z³=9125

k³+(2k)³+(4k)³=9125

k³+8k³+64k³=9125

73k³=9125

k³=125

k=5

∴the numbers are x=5 y=10 z=20

hope u understand it pls mark as brianliest

Answer 2

Given ,

The ratio of 3 numbers is 1 : 2 : 4

The sum of cubes of 3 numbers is 9125

Let , the three numbers are x , 2x and 4x

According to the question ,

(x)³ + (2x)³ + (4x)³ = 9125

(x)³ + 8(x)³ + 64(x)³ = 9125

73(x)³ = 9125

(x)³ = 9125/73

(x)³ = 125

x = 5

$\therefore$ The three numbers are 5 , 10 and 20