Two numbers are in the ratio 3: 4 and the sum of their cubes is 307.125. Find the numbers.
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3.375
Step-by-step explanation:
- Let the first number be 3x and 2nd number be 4x.
- (3x)³+(4x)³=307.125
- 3x×3x×3x+4x×4x×4x=307.125
- 27x+64x=307.125
- 91x=307.125
- 91x=307125÷1000(since the decimal is removed)
- X=307125÷(1000×91)
- X=27÷8
- X=3.375
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