Two positive numbers have a difference of 4 and a product of 96. what are the numbers?
a. 12 and 8
b. 16 and 6
c. 16 and 12
d. 18 and 14

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4