Question

the sum of cubes of three number which are in ratio 1:2:3 is 7776 find number​

Answer 1

Step-by-step explanation:

let 1st no. is x then others are 2x and 3x

sum of their cube is x

3

+ 8x

3

+ 27x

3

=36 x

3

=7776

x

3

=216

x=6

thus numbers are 6,12,18

Answer 2

Answer:

The numbers are 6, 12 and 18.

Step-by-step explanation:

Let the common multiple be 'x',

So, the numbers are 1x, 2x and 3x,

Given - Sum of squares of the number.

So, the numbers become (1x)³, (2x)³ and (3x)³.

Equation formed:

(1x)³ + (2x)³ + (3x)³ = 7776

1x³ + 8x³ + 27x³ = 7776

36x³ = 7776

x³ = 7740/36

x = ³√216

x = 6

So, now we got value of x so we can find the value of other numbers also.

First number = 1x = 1 × 6 = 6

Second number = 2x = 2 × 6 = 12

Third number = 3x = 3 × x = 18

Hope it helps!