Maths Question (1 Viewer)

[rolror88]

Someone asked me this SC question and I'm completely stumped lol. Can anyone figure it out?

a, b and c are three different positive integers, and (ab)sqaured = abc
whats the value for c?
a) 1
b) 5
c) 9
d) 12

 

[kmlb123]

(ab)^2 = abc
therefore ab=c (divide both sides by ab)

If c=1 then a and b = 1 (a,b,c are three DIFFERENT values)
If c =5 then a b = 1, 5 (look above)
If c= 9 then ab= 3,3 OR 1,9 (Look above)
therefore c must = 12 and b,c = 3,4 or 2,6

 

[rolror88]

Thanks. I worked it out by substitution and removing answers; Your way is way faster.