.The difference between the two numbers is 25. The ratio of the two numbers is 10:5. What are the two numbers?
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Let the numbers be x and x+10 (since the difference of the two numbers is 10).
Now, we can say that, (x+10)/x=5/7 (since the ratio of the two numbers is 5:7)
or, (x+10)*7=5*x (cross multiplication)
or, 7*x+70=5*x
or, 7*x-5*x=-70
or, 2*x=-70
or, x=-35 (dividing both sides of the equation by 2)
So, the numbers are x=-35 and x+10=-25.
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