Answer:
The longer part is 45 cm long and the shorter part is 25 cm long.
Step-by-step explanation:
Given:
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.
Now, to find the length of each part of the stick.
Let the shorter part be [tex]x.[/tex]
So, the longer part is [tex]x+20.[/tex]
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:
[tex](x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.[/tex]
The length of the shorter part is 25 cm.
Now, substituting the value of [tex]x[/tex]:
[tex]x+20\\\\=25+20\\\\=45\ cm.[/tex]
The length of longer part is 45 cm.
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
