Three numbers are in the ratio 2:3:4 and the sum of their cubes is 9000. Find the numbers.
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Answered by
1
Answer:
Step-by-step explanation:
Three numbers are in the ratio 2 : 3 : 4
Let the three numbers be 2x, 3x, 4x
The sum of their cubes = 9, 000
(2x)³+(3x)³+(4x)³ = 9, 000
8x + 27x + 64x = 9, 000
99x = 9, 000
x = 9, 000 ÷ 99
x = 90.90 ≈ 91
The numbers are
→ 2x = 2(91) = 182
→ 3x = 3(91) = 273
→ 4x = 4(91) = 364
Hope it helps
Answered by
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Three numbers are in the ratio 2 : 3 : 4
Let the three numbers be 2x, 3x, 4x
The sum of their cubes = 9, 000
(2x)³+(3x)³+(4x)³ = 9, 000
8x + 27x + 64x = 9, 000
99x = 9, 000
x = 9, 000 ÷ 99
x = 90.90 ≈ 91
The numbers are
→ 2x = 2(91) = 182
→ 3x = 3(91) = 273
→ 4x = 4(91) = 364
Hope it helps
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