Question

Two numbers are in the ratio of 5:3. If the difference of their cubes is 2646, find the numbers. ​

Answer 1

Step-by-step explanation:

Suppose,

Two numbers be 5x and 3x

The difference of their cubes is 2646

➨(5x)³ - ( 3x)³ = 2646

➨ 125x³ - 27x³ = 2646

➨ 98x³ = 2646

➨ x³ = 2646/98

➨ x³ = 27

➨ x = ³√27

➨ x = 3

One number = 5x

➨ 5 × 3 = 15

Second number = 3x

➨ 3 × 3 = 9

Hence, the numbers are 15 and 9

Answer 2

Answer:

☆●Given:-

Two numbers be are in ratio 5x and 3x

Difference of their cubes = 2646.

☆●To find :-

find the numbers??

☆●Proof :-

(5x)^3-(3x)^3=2646

(125x)^3- (27x)^3

98x^3=2646

x^3=2646/98

x^3=27.

x= cube root of 27 .

x=3.

The one number is 5x=5×3=15.

The another number is 3x=3×3=9.

Hence the numbers are 15 and 9.

Hope it helps u mate.

Thank you.