Stephen went to the bank to cash a check. By mistake, the teller gave him dollars instead of cents and cents instead of dollars, which he didn't notice. On the way out, Stephen spent a nickel at a gum machine. When Stephen returned home, he found he had exactly twice the amount of the check.

Determine the exact amount of the check Stephen cashed at the bank.

(In reply to No brute force solution by Jer)

M I N E  Was No brute force solution :

from 199y+x-5=200x+2y

follows ( 5+199x)/98= 196 x +(3x+5)/98

 3x=93

x=31 &    y=63

 

 

 

 

 

Posted by Ady TZIDON on 2012-12-19 15:23:02