# SOLUTION: one number is twice another number. If the larger is diminished by ten the result is two more than the smaller. Find the number.

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 Question 263644: one number is twice another number. If the larger is diminished by ten the result is two more than the smaller. Find the number. Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!x is one number. y is another. We are told: y = 2x. And we are told: y-10 = x+2 . So, we have two definitions of y: y = 2x and y-10 = x+2 y = x+12 Since the identity y=y is obvious, then we can say 2x = x+12 . Subtracting x from both sides x = 12 . In our set up we defined: y = 2x, so y = 2*12 = 24 . We can check by substituting these values into the other equation we defined: y-10 = 14 Does this = 12+2? Yes it does. . So, the two values are: 12 and 24.