The sum of the numerator and denominator of a fraction is 4 more than twice the
numerator. If the numerator and denominator are increased by 3, they are in
ratio 2: 3. Determine the fraction.
Answers
Answer:
Let numerator =x and denominator=y
∴Fraction=
y
x
According to the first condition
⇒x+y=2x+4
⇒y=x+4.....eq1
According to the second condition
⇒
y+3
x+3
=
3
2
⇒3x+9=2y+6⇒3x−2y=−3....eq2
Substitute the value of y from eq1 to eq2
⇒3x−2(x+4)=−3⇒3x−2x+8=−3⇒x=5
Put x=5 in eq1
⇒y=5+4⇒y=9
Hence,fraction=
9
5
Answer:
10th
Maths
Pair of Linear Equations in Two Variables
Algebraic Solution of a Pair of Linear Equations
The sum of the numerator an...
MATHS
The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction
MEDIUM
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ANSWER
Let numerator =x and denominator=y
∴Fraction=
y
x
According to the first condition
⇒x+y=2x+4
⇒y=x+4.....eq1
According to the second condition
⇒
y+3
x+3
=
3
2
⇒3x+9=2y+6⇒3x−2y=−3....eq2
Substitute the value of y from eq1 to eq2
⇒3x−2(x+4)=−3⇒3x−2x+8=−3⇒x=5
Put x=5 in eq1
⇒y=5+4⇒y=9
Hence,fraction=
9
5
Step-by-step explanation:
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