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Popular Word Problems >

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.

Solução

T h ree n u mb ers a re in t h e r a t i o 1 : 2 : 3 an d t h e s u m o f t h e i r c u b es i s 4500. F in d t h e n u mb ers .

Solução

The numbers : 5, 10, 15

Passos da solução

Represent the numbers in ratio 1:2:3 with

x

x

2 x

3 x

Write an equation for the sum:

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

Resolver para

x, x^{3} + (2 x)^{3} + (3 x)^{3} = 4500 : x = 5

x = 5

2 x = 2 \cdot 5 = 10

3 x = 3 \cdot 5 = 15

The numbers : 5, 10, 15

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