Math Forums @ Math Goodies - SAT Question #4

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SAT Question #4

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Haven
Senior Member

USA
28 Posts

Posted - 09/25/2008 : 08:46:19

The information given is:

- t

equals 2t - x

If x and t are positive numbers that satisfy the equation above, what is the value of x divided by t?

The answer given was 5/4

How was this answer obtained. An explanation would be greatly appreciated.

skeeter
Advanced Member

USA
5634 Posts

Posted - 09/25/2008 : 11:12:05

-t

) = 2t-x

square both sides ...

x

-t

= 4t

-4tx+x

0 = 5t

-4tx

0 = t(5t-4x)

since t>0, 5t = 4x ... 5/4 = x/t

Haven
Senior Member

USA
28 Posts

Posted - 09/25/2008 : 14:29:45

Thanks Again Skeeter.

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