MathDB

The cost of

1000

grams of chocolate is

x

dollars and the cost of

1000

grams of potatoes is

y

dollars, the numbers

x

and

y

are positive integers and have not more than

2

digits. Mother said to Maria to buy

200

grams of chocolate and

1000

grams of potatoes that cost exactly

N

dollars. Maria got confused and bought

1000

grams of chocolate and

200

grams of potatoes that cost exactly

M

dollars (

M >N

). It turned out that the numbers

M

and

N

have no more than two digits and are formed of the same digits but in a different order. Find

x

and

y

Problem Statement