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Three numbers are in ratio of 3:4:5 The sum of their cubes is 7, 29,000 find the numbers |
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Answer» -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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