SOLUTION: I Am Thinking Of Two Numbers.the Larger Number Is Twice That Of The Smaller Number.the Product Of The Two Numbers Is Greater Than 70 But Smaller Than 80.what Are The Two Numbers?

Question 663643: I Am Thinking Of Two Numbers.the Larger Number Is Twice That Of The Smaller Number.the Product Of The Two Numbers Is Greater Than 70 But Smaller Than 80.what Are The Two Numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two Numbers. x & y
:
the Larger Number Is Twice That Of The Smaller Number.
x = 2y
:
the Product Of The Two Numbers Is Greater Than 70 But Smaller Than 80.
x * y > 70
x * y < 80
:
replace x with 2y
2y * y > 70
2y^2 > 70
and
2y^2 < 80
Divide both sides by 2
y^2 > 35
y^2 < 40
Doesn't take much imagination to see that y = 6, therefore x = 12
:
6 * 12 = 72 which satisfies the requirement

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