One says,"give me hundred,friend! I shall then become twice as rich as you" The other replies, " If you give me ten then, I shall be six times as rich as you". Tell me what is the amount of their respective capital?
Don't Spam
Answers
Answer :
- Respective capital = Rs. 40 and Rs. 170.
Step-by-step explanation :
Given :
- One says, "give me hundred, friend! I shall then become twice as rich as you"
- The other replies, "If you give me ten then, I shall be six times as rich as you".
To Find :
- Respective capital of friends?
Solution :
★ Case (ℹ) :
- Let x gives 100 to y
As we know that one says, "give me hundred, friend! I shall then become twice as rich as you". So, linear equation in two variable for this case will be ::
- y + 100 = 2(x - 100)
➡ y + 100 = 2x - 200
➡ y = 2x - 200 - 100
➡ y = 2x - 300 ㅤㅤㅤㅤ– ①
★ Case (ℹℹ) :
- Let y gives 10 to x
As we know that other replies, "If you give me ten then, I shall be six times as rich as you". So, linear equation in two variable for this case will be ::
- x + 10 = 6(y - 10)
➡ x + 10 = 6y - 60
➡ x = 6y - 60 - 10
➡ x = 6y - 70ㅤㅤㅤㅤ – ②
From ① putting in ② :
➡ x = 6(2x - 300) - 70
➡ x = 12x - 1800 - 70
➡ x = 12x - 1870
➡ x - 12x = -1870
➡ -11x = -1870
➡ x = -1870/-11
➡ x = 1870/11
➡ x = 170
Putting value of x in ① :
➡ y = 2(170) - 300
➡ y = (2 × 170) - 300
➡ y = 340 - 300
➡ y = 40
Hence, respective capital of friends is Rs. 40 and Rs. 170.
▬▬▬▬▬▬▬▬▬▬▬▬
Time mile toh reply kardena ..
Kyu mood off he.