What two numbers has a sum of 18 and a difference of 8?

13 and 5

let's say the two numbers are x and y

x+y = 18

x-y= 8

x+y+x-y= 18+8

18+8 = 26

2x = 26

x = 13

18-13 = 5

y = 5

answer: the first graph

step-by-step explanation:

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