B)The sum of 9 times a larger number and twice a smaller is 6. The difference of 3 times the larger and the smaller is 7. Compute the numbers. (10marks) Remarks: These questions involved several scenarios
1.Assign the variables -2marks
2.Assumptions of the context of the two numbers -2marks
3.Apply linear systems -2marks
4.Compute using the applicable method of system of linear system -2marks
5.Compute both numbers from above-2marks

step-by-step explanation:

options

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