4 South Indian stir fried dish made with white chickpeas (6)
Answers
Answer:
Question :-
The denominator of a rational number is greater than its numerator by 3, if numerator is increased by 14 and denominator is decreased by 3 the new number becomes 11 by 4 what is the rational number ?
\large \dag† Answer :-
\begin{gathered}\red\dashrightarrow\underline{\underline{\sf \green{The \: Original \: Number \: is \: \frac{8}{11} }} }\\\end{gathered}
⇢
The Original Number is
11
8
\large \dag† Step by step Explanation :-
Let Numerator and Denominator of Original Rational Number be :
Numerator = x
As Per the question denominator of the rational number is greater than its numerator by 3 so,
Denominator should be = x + 3
Hence,
\begin{gathered}\text{Original Number = } \frac{\text x}{\text x + 3} \\ \end{gathered}
Original Number =
x+3
x
❒ When numerator is increased by 14 and denominator is decreased by 3 :
\begin{gathered} \rm \text{Number Becomes } : \frac{x + 14}{x} \\ \end{gathered}
Number Becomes :
x
x+14
⏩ According To Question :
\begin{gathered} \large \blue \bigstar \: \: \red{ \bf \frac{ x + 14 }{x} = \frac{11}{4} } \\ \end{gathered}
★
x
x+14
=
4
11
\maltese \:✠ On Cross Multiplying ;
\begin{gathered}:\longmapsto \rm11x = 4(x + 14) \\ \end{gathered}
:⟼11x=4(x+14)
\begin{gathered}:\longmapsto \rm 11x = 4x + 56 \\ \end{gathered}
:⟼11x=4x+56
\begin{gathered}:\longmapsto \rm 11x - 4x = 56 \\ \end{gathered}
:⟼11x−4x=56
\begin{gathered}:\longmapsto \rm 7x = 56 \\ \end{gathered}
:⟼7x=56
\begin{gathered}:\longmapsto \rm x = \cancel \frac{56}{7} \\ \end{gathered}
:⟼x=
7
56
\begin{gathered}\purple{ \large :\longmapsto \underline {\boxed{{\bf x = 8} }}} \\ \end{gathered}
:⟼
x=8
\begin{gathered}\blue\dashrightarrow\underline{\underline{\sf \orange{Numerator \: of \: Original \: Number = 8 }} }\\ \end{gathered}
⇢
Numerator of Original Number=8
☆ As The denominator of the rational number is greater than its numerator by 3
\begin{gathered}\rm\therefore \: Denominator = 8 + 3\\ \end{gathered}
∴ Denominator =8 +3
\begin{gathered}\blue\dashrightarrow\underline{\underline{\sf \orange{Denominator \: of \: Original \: Fraction = 11 }} }\\ \end{gathered}
⇢
Denominator of Original Fraction=11
Therefore,
\large\underline{\pink{\underline{\frak{\pmb{ Original \: Fraction = \dfrac{8}{11} }}}}}
Original Fraction =
11
8
Original Fraction =
11
8
Question :-
The denominator of a rational number is greater than its numerator by 3, if numerator is increased by 14 and denominator is decreased by 3 the new number becomes 11 by 4 what is the rational number ?
\large \dag† Answer :-
\begin{gathered}\red\dashrightarrow\underline{\underline{\sf \green{The \: Original \: Number \: is \: \frac{8}{11} }} }\\\end{gathered}
⇢
The Original Number is
11
8
\large \dag† Step by step Explanation :-
Let Numerator and Denominator of Original Rational Number be :
Numerator = x
As Per the question denominator of the rational number is greater than its numerator by 3 so,
Denominator should be = x + 3
Hence,
\begin{gathered}\text{Original Number = } \frac{\text x}{\text x + 3} \\ \end{gathered}
Original Number =
x+3
x
❒ When numerator is increased by 14 and denominator is decreased by 3 :
\begin{gathered} \rm \text{Number Becomes } : \frac{x + 14}{x} \\ \end{gathered}
Number Becomes :
x
x+14
⏩ According To Question :
\begin{gathered} \large \blue \bigstar \: \: \red{ \bf \frac{ x + 14 }{x} = \frac{11}{4} } \\ \end{gathered}
★
x
x+14
=
4
11
\maltese \:✠ On Cross Multiplying ;
\begin{gathered}:\longmapsto \rm11x = 4(x + 14) \\ \end{gathered}
:⟼11x=4(x+14)
\begin{gathered}:\longmapsto \rm 11x = 4x + 56 \\ \end{gathered}
:⟼11x=4x+56
\begin{gathered}:\longmapsto \rm 11x - 4x = 56 \\ \end{gathered}
:⟼11x−4x=56
\begin{gathered}:\longmapsto \rm 7x = 56 \\ \end{gathered}
:⟼7x=56
\begin{gathered}:\longmapsto \rm x = \cancel \frac{56}{7} \\ \end{gathered}
:⟼x=
7
56
\begin{gathered}\purple{ \large :\longmapsto \underline {\boxed{{\bf x = 8} }}} \\ \end{gathered}
:⟼
x=8
\begin{gathered}\blue\dashrightarrow\underline{\underline{\sf \orange{Numerator \: of \: Original \: Number = 8 }} }\\ \end{gathered}
⇢
Numerator of Original Number=8
☆ As The denominator of the rational number is greater than its numerator by 3
\begin{gathered}\rm\therefore \: Denominator = 8 + 3\\ \end{gathered}
∴ Denominator =8 +3
\begin{gathered}\blue\dashrightarrow\underline{\underline{\sf \orange{Denominator \: of \: Original \: Fraction = 11 }} }\\ \end{gathered}
⇢
Denominator of Original Fraction=11
Therefore,
\large\underline{\pink{\underline{\frak{\pmb{ Original \: Fraction = \dfrac{8}{11} }}}}}
Original Fraction =
11
8
Original Fraction =
11
8
Explanation:
Channa Sundal, a healthy, low fat and low oil South Indian style protein rich snack, is generally served as prasadam after puja during religious festivals like Navratri and Janmashtami. In this easy to follow step by step photo recipe’s traditional preparation, boiled chickpeas are stir fried with spices and then mixed with grated fresh coconut and raw boiled chickpeas make it more healthier as it retains all nutrients; You can use canned chickpeas to speed up the process (see tips) and do not have access to pressure cooker to cook the chickpeas. This appetizing side dish has dry texture and that makes it suitable to be served as a snack, starter or accompaniment.