Three numbers are in the ratio 5 : 3 : 7. The sum of their cubes is 61875. Find the three numbers.
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Answer:
The three numbers are 25, 15, 35
Step-by-step explanation:
Given three numbers in ratio = 5:3:7
Let three numbers be 5x, 3x, 7x
The sum of their cubes is 61875
=> (5x)^3 + (3x)^3 + (7x)^3 = 61875
=> 125 x³ + 27 x³ + 343 x³ = 61875
=> 495 x³ = 61875
=> x³ = 61875/495
=> x³ = 125
=> x = ³√125
=> x = ³√5³
=> x = 5
Three numbers are 5(5), 3(5), 7(5) = 25, 15, 35
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