The difference of two numbers is 19. the larger number is three more than twice the smaller. find the numbers.

Let x=the larger number
y=the smaller number 
If the difference of two numbers is 19,then

If the larger number is 3 more than twice the smaller, 

subsituting



but ×=2y+3 so,

Therefore, the two numbers are 16 and 35. 

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