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Verified answer
Question:
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number.
Answer:
Step-by-step explanation:
→ Let the numerator be x. Hence by the give data, denominator will be x+8
→ Also by the given data,
→ Cross multiplying we get,
2(x + 17) = 3(x + 7)
2x + 34 = 3x +21
x = 13
→ The numerator is 13
→ Denominator is x+8 = 13+8 =21
→ The number is 13/21. Adding 17 to numerator and subtracting 1 from denominnator we get 30/20 which is equal to 3/2.
Hence verified.