The number are in the ratio 1:2:3 the sum of their cube is 62208 find the numbers?
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Step-by-step explanation:
➡️let the common multiple be x
(x + 2x + 3x )^3 = 62208
USE ABOVE CONDITION TO SOLVE IT..
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Answered by
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Answer:
Step-by-step explanation:
Lets take the numbers as 1x 2x and 3x
(1x)^3+(2x)^3+(3x)^3= 62208
(6x)^3= 62208
36x^3= 62208
x^3= 62208/36
x^3= 1728
Therefore
x= cube root of 1728
x=12
the numbers are:
1x= 1×12=12
2x=2×12=24
3x=3×12=36
To check whether it is correct
12^3+24^3+36^3=62208
1728+ 13824+ 46656=62208
62208=62208
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