Task make notes with the chief Liberian
Answers
Answer:
Answer :-
\: \: \: \underline{\boxed{\sf{\orange{\mapsto \: \: Let's \: see \: to \: what \: the \: question \: says \: !}}}}
↦Let
′
sseetowhatthequestionsays!
Here we can see that two unknowns values are given which we need to find that is numerator and denominator. How will we find that ? We can use Linear Equation in Two Variables to find it. We can make the value of one variable depend on other to find both. Standard form of Linear Equation in Two Variable is given as :-
• ax + by + c = 0
• px + qy + d = 0
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★ Question :-
The numerator of a fraction is 4 less than the denominator. If 1 is add to both it numerator and denominator it's become 1/2. Find the fraction.
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★ Solution :-
Given,
» The numerator of a fraction = 4 + The denominator of fraction
» (1 + The numerator) and (1 + The Denominator) = ½
• Let the numerator of Fraction be 'x'
• Let the denominator of Fraction be 'y'
Then, according to the question,
~ Case I :-
➮ x = y - 4 ... (i)
~ Case II :-
\: \: \huge{\bf{\purple{\Longrightarrow \: \: \dfrac{x \: + \: 1}{y \: + \: 1} \: = \: \dfrac{1}{2}}}}⟹
y+1
x+1
=
2
1
By cross multiplication,
➮ 2(x + 1) = 1(y + 1)
➮ 2x + 2 = y + 1 ... (ii)
From equation (i) and (ii) , we get,
➔ 2(y - 4) + 2 = y + 1
➔ -8 + 2y + 2 = y + 1
➔ 2y - y = 1 + 8 - 2
➔ y = 7
• Hence, the denominator of fraction = y = 7
Now from equation (i) and value of y, we get,
➔ x = y - 4
➔ x = 7 - 4
➔ x = 3
• Hence, the numerator of fraction = x = 3
Now we see that both numerator and denominator have -ve sign. So we can cancel them off.
\: \: \underline{\boxed{\sf{\blue{\mapsto \: \: \: Hence, \: the \: required \: fraction \: is \: \: \dfrac{3}{7}}}}}
↦Hence,therequiredfractionis
7
3
________________________________
\: \: \underline{\boxed{\rm{\green{\Longrightarrow \: \: \: Confused?, \: Don't \: worry \: let's \: verify \: it}}}}
⟹Confused?,Don
′
tworrylet
′
sverifyit
Here for verification, we can simply apply the values we got, into the equations we formed. Let's do it !
~ Case I :-
✰ x = y - 4
✰ 3 = 7 - 4
✰ 3 = 3
Clearly, LHS = RHS
~ Case II :-
\: \: \huge{\bf{\pink{\Longrightarrow \: \: \dfrac{x \: + \: 1}{y \: + \: 1} \: = \: \dfrac{1}{2}}}}⟹
y+1
x+1
=
2
1
✰ 2(x + 1) = 1(y + 1)
✰ 2(3 + 1) = 1(7 + 1)
✰ 6 + 2 = 7 + (1)
✰ (8) = (8)
Clearly, LHS = RHS
We see that both the conditions satisfy, so our answer is correct. Hence, Verified.
________________________________
\: \: \underline{\boxed{\sf{Let's \: know \: more \: :-}}}
Let
′
sknowmore:−
• Linear Equations are the equations formed using constant and varible terms in a systematic order, so that on solving them the resultant should come to zero.
• Polynomial are the equation formed using constant and variable term but they can be of any degree unlike Linear Equation which are of only 1 degree that is 1.
*Note :- Here I have solved the question using Two Variable x and y. By this way, its easy to get answer. But the above answer given above by @TheMoonlightPhoenix is using One Variable. Its also correct way. Please refer to it.
Answer:
The prime minister is the senior-most member of cabinet in the executive of government in a parliamentary system. The prime minister selects and can dismiss members of the cabinet; allocates posts to members within the government; and is the presiding member and chairperson of the cabinet.
Seat: Prime Minister's Office, South Block, Central Secretariat, New Delhi, India; Camp ...
Precursor: Vice President of the Executive Council