Math, asked by vidhi3985, 1 year ago

Three numbers are in the ratio 3:4:5. If the sum of their cubes is 27000,then find the numbers.

Answers

Answered by Anonymous

here is ur answer....

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BrainlyPromoter: Great but the root over 125 is cube root

BrainlyPromoter: You have written it square root

vidhi3985: does not matter ,i had understood.

BrainlyPromoter: great but it should be corrected as someone may get problems understanding it

vidhi3985: u r right.

BrainlyPromoter: please correct it prerna, if you want edit option ask me

BrainlyPromoter: thanks for correcting

Answered by BrainlyPromoter

When you are solving such questions then your first step should always be assuming the ratios as the numbers by multiplying each of them with a variable.

Here,

Ratio of three numbers = 3 : 4 : 5

Let the numbers be 3x , 4x and 5x.

Their cubes = (3x)^3, (4x)^3 and (5x)^3 = 27x^3, 64x^3 and 125x^3

According to the question,

27x^3 + 64x^3 + 125x^3 = 27000

216x^3 = 27000

x^3 = 27000/216

x^3 = 125

x = ∛125

x = 5

Hence,

The numbers are as follows:

1. 3x = 3*5 = 15

2. 4x = 4*5 = 20

3. 5x = 5*5 = 25

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