Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

Description (বিবরণ) :

প্রশ্ন: Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

ব্যাখ্যা:

প্রশ্নঃ Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

বর্ণনাঃ
Case 1: Rahim has three times as much money as Karim has.
let, karim's money = x, so rahim's money = 3x
Case 2: If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have.
After the condition - Rahim gives Karim TK.50
Karim's money = x + 50 & rahim's money = 3x - 50
After the condition - Karim will have three times as much money as Rahim will have,
karim's maney = 3 * rahim's money
or, x + 50 = 3(3x - 50)
or, x + 50 = 9x - 150
or, 8x = 200
so, x = 25
So, The money do they have together is: x + 3x = 4x = 4*25 = 100
Answer: 100