Question

Elvin and Carol together have Rs. 84. If Elvin gives Carol Rs. 32, then Carol will have twice as much money as Elvin. How much money, do Elvin and Carol have originally?

Answer 1

Elvin originally had Rs. 60 and Carol originally had Rs. 24.

Step-by-step explanation:

Let's assume that Elvin has x rupees and Carol has y rupees.

We have two equations:

x + y = 84 (Equation 1)

y + 32 = 2(x - 32) (Equation 2)

Simplifying Equation 2, we get:

y + 32 = 2x - 64

Bringing like terms to one side, we get:

2x - y = 96 (Equation 3)

Now we have a system of equations with Equation 1 and Equation 3. We can solve this system by substitution or elimination method.

Using substitution method, we solve Equation 3 for x:

x = (96 + y)/2

Substituting this value of x into Equation 1:

(96 + y)/2 + y = 84

Simplifying the equation, we get:

96 + y + 2y = 168

Combining like terms, we get:

3y = 72

Solving for y, we get:

y = 24

Substituting this value of y into Equation 1:

x + 24 = 84

Solving for x, we get:

x = 60

Therefore, Elvin originally had Rs. 60 and Carol originally had Rs. 24.