The sum of the numerator and the denominator of a fraction is 12. If the denominator is increased
by 3, the fraction becomes
. Find the fraction.
Answers
Answered by
186
❍ Let the Numerator of the fraction be x and the Denominator of the fraction be y respectively.
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- The sum of the numerator and the denominator of a fraction is 12.
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Therefore,
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- If the denominator is increased by 3, the fraction becomes ½.
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Therefore,
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Hence,
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- Numerator of the fraction, x = 5
- Denominator of the fraction, y = 7
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Answered by
56
Answer:
- Sum of numerator and denominator = 12
- If the denominator is increased by 3, the fraction becomes ½
Denominator and Numerator
Let the fraction be x/y
Hence,
x + y = 12
x/y + 3 = ½
Now,
2(12 - y) = y + 3
(2 × 12) - (2 × y) = y + 3
24 - 2y = y - 3
24 - 3 = 2y + y
21 = 2y + y
21 = 3y
y = 21/3
y = 7
Now
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
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