Question

Maryann has more money than Veraline. If Maryann gave Veraline #20, they would have the same amount.  While if Veraline gave Maryann #22, Maryann would then have twice as much as Veraline.  How much does each one actually have?

Answer 1

Answer:

146 & 106

Step-by-step explanation:

Let x=Maryann's money

y=Veraline's money

Then, x-20 = y+20

=> x-y = 40 ----------- (A)

& x+22 = 2(y-22)

=> x-2y = -66 ---------- (B)

Solving for x & y ,

x= 146 & y= 106.

[check the correctness :

146 - 20 = 106 + 20 = 126

146 + 22 = 2(106 + 22) = 168]