Question

let's hope your father will agree. If so, we will go out for picnic.
(Join the following sentence to make one complete sentence without using and but or so) ​

Answer 1

Explanation:

Answer:

The fraction = 5/12.

Step-by-step explanation:

Given:

A fraction becomes ⅓ when 1 is subtracted from the numerator and it becomes ¼ when 8 is added to its denominator.

To find:

The fraction.

Solution:

Let the numerator of the fraction be x and the denominator of the fraction be y.

★ If 1 is subtracted from the numerator, the numerator will be (x-1).

According to the first condition,

\begin{gathered} \implies \sf\: \dfrac{x - 1}{y} = \dfrac{1}{3} \\ \\ \implies \sf \: y = 3x - 3...........(1)\end{gathered}

⟹

y

x−1

=

3

1

⟹y=3x−3...........(1)

★ If 8 is added to the denominator, the denominator will be (y+8).

\begin{gathered} \implies \sf \: \dfrac{x}{y + 8} = \dfrac{1}{4} \\ \\ \implies \sf \: 4x = y + 8 \\ \\ \implies \sf \: 4x = 3x - 3 + 8 \: \{put \: y = 3x - 3 \: from \: eq(1) \} \\ \\ \implies \sf \: 4x - 3x = 5 \\ \\ \implies \sf \: x = 5\end{gathered}

⟹

y+8

x

=

4

1

⟹4x=y+8

⟹4x=3x−3+8{puty=3x−3fromeq(1)}

⟹4x−3x=5

⟹x=5

Now put x = 5 in eq(1).

y = 3x-3

→ y = 3×5-3

→ y = 12

Therefore,

The fraction = 5/12