Question

need help finding solution to
party length is cut into three pieces . The middle piece will be six inches longer than the shortest piece and the shortest piece will be 9 inches shorter than longest piece how long will the pices be?​

Answer 1

Answer:

Length of longest piece=21 in

Length of middle piece=18in

Length of shortest piece=12 in

Step-by-step explanation:

We  are given that

Total party-length =51 in

Let x be the length of longest piece

Length of shortest piece=x-9

Length of middle piece=6+x-9=x-3

We have to find the length of three pieces

According to question

Sum of length of three pieces=51in

$x+x-9+x-3=51$

$3x-12=51$

$3x=51+12$

$3x=63$

$x=\frac{63}{3}=21$

Length of longest piece=21 in

Length of middle piece=21-3=18in

Length of shortest piece=21-9=12 in