When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4 when 6 is added to numerator and denominator is multiplied by 3 it becomes 2/3 find the fraction.
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Answers
Step-by-step explanation:
When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes
4
1
. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes
3
2
. Find the fraction.
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ANSWER
Let the numerator be x and denominator be y
⇒Nowbyfirstcondition
y+3
x−2
=
4
1
.
⇒4(x−2)=(y+3)
⇒4x−8=y+3=>4x−y=11........................1
And By second condition
3y
x+6
=
3
2
⇒3(x+6)=6y
⇒3x−6y=−18............................................2
6(1)−(2)
21x=84
x=4
by1y=5
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Asked on November 22, 2019 by
Adwitiyaa Sehgal
When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes
4
1
. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes
3
2
. Find the fraction.
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Study later
ANSWER
Let the numerator be x and denominator be y
⇒Nowbyfirstcondition
y+3
x−2
=
4
1
.
⇒4(x−2)=(y+3)
⇒4x−8=y+3=>4x−y=11........................1
And By second condition
3y
x+6
=
3
2
⇒3(x+6)=6y
⇒3x−6y=−18............................................2
6(1)−(2)
21x=84
x=4
by1y=5