can anyone show how to solve this algebraically?

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topspin330: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Sun Dec 11, 2011 9:04 am

by topspin330 » Thu Jan 05, 2012 4:55 pm

a,b,c, and d are positive numbers. If ab = c and a/b = d, what is a+b?

a) dsqrt(cd)
b) sqrt(cd)/d
c) (sqrt(cd) + d)/d
d) d(sqrt(cd)+1)/d
e) (sqrt(cd)(d+1))/d

thanks.

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Source: Beat The GMAT — Problem Solving | Thu Jan 05, 2012 4:55 pm

topspin330: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Sun Dec 11, 2011 9:04 am

by topspin330 » Thu Jan 05, 2012 5:09 pm

nvm got it.

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pemdas: Legendary Member; Posts: 1084; Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members; Thanked: 158 times

by pemdas » Thu Jan 05, 2012 5:25 pm

find (a+b)?

b=c/a and a^2=cd (from ab* a/b)
b+sqroot(a^2)=c/sqroot(cd) +sqroot(cd)= (c+cd)/sqroot(cd)=
sqrt(c)*[sqroot(c)+d*sqroot(c)]/sqroot(cd)= sqroot(c)*(1+d)/sqroot(d)= sqroot(cd)*(1+d)/d

e

topspin330 wrote:a,b,c, and d are positive numbers. If ab = c and a/b = d, what is a+b?

a) dsqrt(cd)
b) sqrt(cd)/d
c) (sqrt(cd) + d)/d
d) d(sqrt(cd)+1)/d
e) (sqrt(cd)(d+1))/d

thanks.

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