2parts of a rope are such that 1 part is half of the other.the sum of the 2parts is 8m more than their difference. Find the total length of the rope?
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Let the length of smaller part of rope be x
And lenght of bigger part be y
So,
By condition one
y = 2x .......... 1
Condition TWO
x+y = 8+y-x
x+x+y-y = 8
2x = 8
x = 8/2
x = 4 ........ 2
Substitute y = 4 in eqn 1
y = 2 * 4
y = 8
Therefore x+y = 4+8
= 12
So lenght of rope is 12m
And lenght of bigger part be y
So,
By condition one
y = 2x .......... 1
Condition TWO
x+y = 8+y-x
x+x+y-y = 8
2x = 8
x = 8/2
x = 4 ........ 2
Substitute y = 4 in eqn 1
y = 2 * 4
y = 8
Therefore x+y = 4+8
= 12
So lenght of rope is 12m
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