Question

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4,500. What are these numbers?

Answer 1

Answer:

let the no. be x

ATQ

(x )^3+ (2x) ^3+ (3x) ^3= 4500

x^3 + 8x^3 + 27x^3 = 4500

36 x^3= 4500

x^3= 4500/36

x^3= 125

x= 5

numbers are 5 , 10 and 15

Answer 2

Answer:

Ratio of three numbers=1:2:3

Let these numbers be x, 2x and 3x

Sum of these numbers=4500

EQUATION:-

x+2x+3x=4500

6x=4500

x=4500/6

x=750

These numbers are:-

:. x=750

:. 2x=1500

:. 3x=2250

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