The denominator of fraction is 2 more than the twice the numerator
If the numator is decreased by one
the fraction beco

2 thoughts on “The denominator of fraction is 2 more than the twice the numerator <br />If the numator is decreased by one<br />the fraction beco”

1. Answer:

   3/8

   Step-by-step explanation:

   Let the numerator be ‘x’ and denominator be ‘y’. Thus, fraction be x/y.

   y = 2 + 2x [given]

   If the numerator is decreased by 1, fraction becomes 1/4.

   ⇒ (x – 1)/y = 1/4

   ⇒ (x – 1)/(2 + 2x) = 1/4

   ⇒ 4(x – 1) = 2 + 2x

   ⇒ 4x – 4 = 2 + 2x

   ⇒ 4x – 2x = 2+4 ⇒ x = 3

   thus, y = 2 + 2x = 2 + 2(3) = 8

   ∴ Fraction = x/y = 3/8

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2. Answer:

   3/8

   Step-by-step explanation:

   Let the numerator be ‘x’ and denominator be ‘y’. Thus, fraction be x/y.

   y = 2 + 2x [given]

   If the numerator is decreased by 1, fraction becomes 1/4.

   ⇒ (x – 1)/y = 1/4

   ⇒ (x – 1)/(2 + 2x) = 1/4

   ⇒ 4(x – 1) = 2 + 2x

   ⇒ 4x – 4 = 2 + 2x

   ⇒ 4x – 2x = 2+4 ⇒ x = 3

   thus, y = 2 + 2x = 2 + 2(3) = 8

   ∴ Fraction = x/y = 3/8

   Reply