Question 1166703
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Let x be the larger number, y be the smaller number.


From the condition, we have these two equations


    x = 2y + 15     (1)

    x + y = 60      (2)


From equation (1), substitute this expression x = 2y + 15  into the second equation, replacing x there.


You will get a single equation then, for only one unknown y


    (2y + 15) + y = 60.


Simplify and find y


    3y = 60 - 15

    3y = 45

     y = 45/3 = 15.


Then from equation (1),  x = 2y+15 = 2*15 + 15 = 45.


<U>ANSWER</U>.  The larger number is 45;  the smaller number is 15.
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Solved.


You can check it on your own that my answer SATISFIES the given equations.