One number is 7 more than another. The difference between their squares is 203 . What are the numbers

Question

One number is 
7
more than another. The difference between their squares is 
203
. What are the numbers

Answer 1

x = y + 7 

 

x² - y² = 203  substitute from above

 

(y-7)² - y² = 203

 

y² + 14y +49 - y² = 203

 

14y = 154

 

y = 11, x = 18