The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numerator and the denominator are
reduced by 6. Find the fraction.
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The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numerator and the denominator are
reduced by 6. Find the fraction.
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Answer:
7/18
Step-by-step explanation:
Let the numerator be 'x' and denominator be 'y'. Thus, fraction be x/y.
y = 4 + 2x {given}
Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Means,
If denominator = y - 6 &
numerator = x - 6
⇒ denominator = 12 times of numerator
⇒ (y - 6) = 12(x - 6)
⇒ (4 + 2x - 6) = 12x - 72
⇒ 72 + 4 - 6 = 12x - 2x
⇒ 70 = 10x ⇒ x = 7
Thus, y = 4 + 2x = 4 + 2(7)=18
∴ Fraction = x/y = 7/18
Question:-
To Find:-
Solution:-
According to the Question:-
Given ,
Hence ,