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Q: If two numbers are in the ratio 4:7 and the sum of their cubes is 407000, then the greater number will be:
  • A. 70
  • B. 63
  • C. 84
  • D. 77
Correct Answer: Option A - Let the numbers are 4x & 7x respectively. ATQ, (4x)³ + (7x)³ = 407000 64x³ + 343x³ = 407000 407x³ = 407000 x = 10 Now, the greater number = 7x = 7 × 10 = 70
A. Let the numbers are 4x & 7x respectively. ATQ, (4x)³ + (7x)³ = 407000 64x³ + 343x³ = 407000 407x³ = 407000 x = 10 Now, the greater number = 7x = 7 × 10 = 70

Explanations:

Let the numbers are 4x & 7x respectively. ATQ, (4x)³ + (7x)³ = 407000 64x³ + 343x³ = 407000 407x³ = 407000 x = 10 Now, the greater number = 7x = 7 × 10 = 70