Question

Three number are in ratio 3:4:5 the sum of their cube is 7,290,000 find the numbers.
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Answer 1

Answer:

Step-by-step explanation:

→ Given the three numbers which are in ratio 3:4:5 and their sum of cubes is 729000.

→ let the three numbers are 3x,4x and 5x

→ As their sum of cubes is 729000

→ (3x)³ + (4x)³ + (5x)³ = 729000

→ 27x³ + 64x³ + 125x³ = 729000

→ 216x³ = 729000

→ x³ = 3375

→ Taking cube root on both sides, we get

→ x = 15

→ 3x = 3 * 15 = 45

→ 4x = 4 * 15 = 60

→ 5x = 5 * 15 = 75

→ Hence, the three numbers are 45,60 and 75.

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