Question

Raman has three times as much money as Kamal. If Raman gives rs 750 to Kamal , then Kamal will have twice as much money as left with Raman. How much had each originally. Please show equation and working

Answer 1

Please look for the attachment.

Answer 2

Answer:

Let x be the amount of money kamal has initially

As per the statement:

Raman has three times as much money as Kamal

⇒Raman has amount of money initially  = 3x

It is also given that:

If Raman gives rs 750 to Kamal , then Kamal will have twice as much money as left with Raman

then;

Raman's has money now = 3x -750

and

kamal's has  money now = x+ 750

Also:

$x+750 = 2(3x-750)$

Using distributive property, $a \cdot (b+c) = a\cdot b+ a\cdot c$

$x+750 = 6x-1500$

Add 1500 to both sides we have;

$x+2250 = 6x$

Subtract x from both sides we have;

$2250 =5x$

Divide both sides by 5 we have;

$450 = x$

or

x = Rs. 450

therefore, Raman had = 3(450)= Rs. 1350 and kamal had = Rs. 450