a rope is 53 meter long. divide it into two so that one piece is 17 meter shorter than the other. find the measure of each piece.


Sagot :

The measure of the longer rope is 25 and the shorter one is 18.
Formula.
A +b = 53
A + (a+17)=53
A+a=53-17
2a=36
Divided by 2 both sides so the answer is 18 the n a =18
B=a+17
B=18+17
B=25
Check:
18 + 25 =53
Let x = longer rope
    x-17 = shorter rope

Add their lengths:
    x + (x-17) = 53
    2x - 17 = 53
    2x = 53 + 17
    2x = 70
    2x/2   =  70/2
     x = 35 

Longer rope is 35 meters
Shorter rope is x-17
                      35 - 17 = 18 meters

To check:  35 meters + 18 meters = 53 meters