The denominator of a fraction is 4 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is
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Let the numerator be x
then denominator = x + 4
if we increase numerator by 7 and decreased denominator by 2,
x + 7/ x + 4 - 2 = 2
x + 7 /x - 2 = 2
x = 2(x-2) - 7
x = 2x - 11
x - 2x = - 11
- x = -11
x =11
11+ 11 + 4 = 26
Hence the sum is 26
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then denominator = x + 4
if we increase numerator by 7 and decreased denominator by 2,
x + 7/ x + 4 - 2 = 2
x + 7 /x - 2 = 2
x = 2(x-2) - 7
x = 2x - 11
x - 2x = - 11
- x = -11
x =11
11+ 11 + 4 = 26
Hence the sum is 26
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Answer:10
Step-by-step explanation:
X+7/x+2=2
=x=3
Fraction is 3/7
Numerator + denominator
3+7=10
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