Question

Three number are in the ratio 1:3:4. Sum of their cube is 47104. Find the numbers

Answer 1

Answer:

8

24

32

Step-by-step explanation:

Let no.s be x,3x,4x

given that,

sum of the cube of the no.s = 47104

Therefore,

According to the problem,

x^3+(3x)^3+(4x)^3=47104

x^3+27x^3+64x^3=47104

92x^3=47104

x^3=47104/92

x^3=512

x=cube root of 512*

x=8

So,

The no.s are=8

3*8=24

4*8=32

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*solve the cube root and you will get the answer.