Question
A fraction is given in which numerator is less than denominator by three. If we add number seven in the numerator and subtract one from the denominator, 32 is the new fraction which we get. Find the original fraction? [4 MARKS]
Answer:
:
Framing the equation: 1 Mark
Steps: 2 Marks
Result: 1 Mark
Let the numerator of a rational number =x
Then the denominator of a rational number =x+3
When numerator is increased by 7, then new numerator =x+7
When denominator is decreased by 1, then new denominator =x+3−1
The new number formed =32
According to the question,
x+7x+3−1=32
⇒x+7x+2=32
⇒2(x+7)=3(x+2)
⇒2x+14=3x+6
⇒3x−2x=14−6
⇒x=8
Numerator = 8, then denominator = 8+3 = 11
Original fraction =811
Was this answer helpful ?
:
Framing the equation: 1 Mark
Steps: 2 Marks
Result: 1 Mark
Let the numerator of a rational number =x
Then the denominator of a rational number =x+3
When numerator is increased by 7, then new numerator =x+7
When denominator is decreased by 1, then new denominator =x+3−1
The new number formed =32
According to the question,
x+7x+3−1=32
⇒x+7x+2=32
⇒2(x+7)=3(x+2)
⇒2x+14=3x+6
⇒3x−2x=14−6
⇒x=8
Numerator = 8, then denominator = 8+3 = 11
Original fraction =811
Was this answer helpful ?
More Questions on This Topic :
Question 4. Is 4x+7 an equation? [1 MARK]....
Question 10. Is 4x+5−y=0 a linear equation in one variable?....
Latest Videos
Latest Test Papers
Submit Solution