SOLUTION: The money Kumara has is twice as money Ashoka has, but the money Ashoka has is less than RS.100/= if Kumara gives RS.30/= from his money to Ashoka , the amount of money Ashoka and

Algebra ->  Test -> SOLUTION: The money Kumara has is twice as money Ashoka has, but the money Ashoka has is less than RS.100/= if Kumara gives RS.30/= from his money to Ashoka , the amount of money Ashoka and       Log On


   

Question 1064343: The money Kumara has is twice as money Ashoka has, but the money Ashoka has is less than RS.100/= if Kumara gives RS.30/= from his money to Ashoka , the amount of money Ashoka and Kumara has is equal. What is the amount of money both of them had before share the money?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x = the amount of money that kumara has.
let y = the amount of money that ashoka has.

kumara has twice as much money as ashoka.

x = 2y

if kumara gives 30 to ashoka, then the amount each of them has is the same.

x - 30 = y + 30

replace x in the second equation with 2y from the first equation to get:

2y - 30 = y + 30

solve for y to get y = 60

since x = 2y, this means that x = 120

kumara has 120 and ashoka has 60 before sharing.

kumara gives 30 to askoka.

kumara has 90 and ashoka has 90 after sharing.
.

solution looks good.

the amount both of them had before sharing should be the same that both of them had after sharing.

before sharing: 120 + 60 = 180

after sharing: 90 + 90 = 180

the amount that each of them has before sharing is:

kumara has 120
ashoka has 60