three number are in ratio 3:4:5. the sum of their cubes is 7,29,000.find the number
Answers
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.
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.