A+B+C+D+E=?

Algebra Level 1

Let a,b,c,d,e be positive reals satisfying a + b = c a + b + c = d a + b + c + d = e a+b=c\\ a+b+c=d\\ a+b+c+d=e If c=5, compute a + b + c + d + e . a+b+c+d+e.

20 25 40 30

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

7 solutions

John Aries Sarza
May 25, 2014

a + b + c + d + e = 8 c = 8 ( 5 ) = 40 a+b+c+d+e=8c=8(5)=40

I like the trick you used..but i cant understand it.please explain it a little bit..

shah faisal - 3 years, 11 months ago

a + b = c a+b=c [ a + b ] + c = d = > c + c = 2 c = d [a+b]+c=d => c+c=2c=d [ a + b ] + c + [ d ] = e = > c + c + 2 c = 4 c = e [a+b]+c+[d]=e => c+c+2c=4c=e . : . [ a + b ] + c + [ d ] + [ e ] = x .:. [a+b]+c+[d]+[e]=x c + c + 2 c + 4 c = x = > 8 c = x c+c+2c+4c=x => 8c=x w h e n c = 5 , when c=5, x = 8 × 5 = 40 x=8\times5=40

Dhanashree J
May 28, 2014

I went by a lengthy method. However,I think solution given by asker is more elegant. I went like this-

c=5

a+b=c

hence, a+b=5

a+b+c=d

hence, 5+5=d

a+b+c+d=e

hence, 5+5+10=e

hence,

a+b+c+d+e=5+5+10+20

\boxed{40}

I too did the same way.

Anuj Shikarkhane - 6 years, 11 months ago
Kabir Bagai
Jul 20, 2014

a+b=c c=5 lets say a is 2 and b is 3 therefor c will be 5 and d is 10 if you add all of them together it will equal e e=20 20+2+3+5+10=40 therefor the answer is 40

Saurabh Mallik
Jun 12, 2014

Given: c = 5 c=5

a + b = c a+b=c

a + b = 5 a+b=5

Given, a + b + c = d a+b+c=d

( a + b ) + c = d (a+b)+c=d

c + c = d c+c=d

2 c = d 2c=d

2 × 5 = d 2\times5=d

d = 10 d=10

Given, ( a + b ) + c + d = e (a+b)+c+d=e

5 + 5 + 10 = e 5+5+10=e

e = 20 e=20

Total sum: a + b + c + d + e = 5 + 5 + 10 + 20 = 40 a+b+c+d+e=5+5+10+20=40

Thus, the answer is: a + b + c + d + e = 40 a+b+c+d+e=\boxed{40}

Difa Sanditya
Jun 9, 2014

C = 5

A + B = C

A + B = 5 or C = 5


A + B + C = D

C + C = D

5 + 5 = 10 or D = 10


A + B + C + D = E

D + D = E

10 + 10 = 20 or E = 20


A + B + C + D + E = E + E

A + B + C + D + E = 20 + 20

A + B + C + D + E = 40

C=5, a+b=c=5 A+b+c=5+5=10=d a+b+c+d=5+5+10=20=e a+b+c+d+e=5+5+10+20=40 The main answer is 40.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...