The 70-foot rope was cut into two pieces. one of the pieces was 10 feet longer than three times the length of the other piece. how long was each piece?

Let
x> pieces number one
y> pieces number two

we know that
x+y=70 ft> x=70-y> equation 1
x+10=3y> equation 2

substitute equation 1 in equation 2
[70-y]+10=3y> 70-y+10=3y> 4y=80> y=20 ft
x=70-y> x=70-20> x=50 ft

the answer is
50 ft and 20 ft

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