The numerator of a fraction in 7 less than the denominator. If the denominator is increased by 9 and the numerator by 2, the fraction is not changed. Find the fraction.
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Solution

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Verified by TopprCorrect option is
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Verified by TopprCorrect option isC3326
Verified by TopprCorrect option isC3326Let the numerator be x and
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be y
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominator
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12⟹3x−2(x+7)=12
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12⟹3x−2(x+7)=12⟹x−14=12
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12⟹3x−2(x+7)=12⟹x−14=12⟹x=26
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12⟹3x−2(x+7)=12⟹x−14=12⟹x=26⟹y=26+7=33 (from (1))
Verified by TopprCorrect option isC3326Let the numerator be x andthe denominator be yGiven that numerator of a fraction is 7 less than its denominatorTherefore, x+7=y ------(1)Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 32Therefore, y+9x+2=32⟹3x+6=2y+18⟹3x−2y=12⟹3x−2(x+7)=12⟹x−14=12⟹x=26⟹y=26+7=33 (from (1))Therefore, the fraction is 3326