string length

Algebra Level 1

A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-size piece and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece ( in cm).


The answer is 4.

Hemlata Sharma by Hemlata Sharma , 27, India

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.

4 solutions

Sunil Pradhan
Jul 12, 2014

x + y + z = 40 and x > y > z

x = 3y then y = x/3,

z = x – 23

x + x/3 + x – 23 = 40 solving x = 27

z = 27 – 23 = 4

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ramiel To-ong
May 29, 2015

That's 27, 9 and 4

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Jewel Mirana
Jan 1, 2015

x+y+z=40. x=3y and z=3y-23 then...... 3y +y + 3y-23=40. 7y-23=40. 7y=40+23. 7y=63. y=9 so....... x=27,y=9,z=4. The answer is 4.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Hemlata Sharma
Jun 2, 2014

Let length of longest piece = l cm Length of medium sized piece =l/3 cm Length of shortest piece = l - 23 cm Now,
l + l/3 + l - 23 = 40

Solving for l l=27cm Hence length of shortest piece = 27-23 = 4cm.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...