1. Three numbers are in the ratio 2 : 3:4. The sum of
their cubes is 72171. Find the numbers.
Answers
Answered by
10
Step-by-step explanation:
Let the numbers be 2x, 3x and 4x
then
(2x) ^3 + (3x) ^3 + (4x) ^3 = 72171
8x^3 + 27x^3 + 64x^3 = 72171
take x^3 common
then
x^3(8 + 27 + 64) = 72171
x^3(99) = 72171
x^3 = 72171/99
x^3 = 729
x = ³√729
x = 9
Numbers are
2x = 2 * 9 = 18
3x = 3 * 9 = 27
4x = 4 * 9 = 36
Hope it will be helpful
harshit18072004:
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Answered by
8
The sum of cubes of three number is 72171.
The numbers = ?
Let the given number in ratio be 2x , 3x and 4x.
According to question.
hence, numbers are :-
2x = 9×2 = 18
3x = 9 ×3 = 27
4x = 9 × 4 = 36
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