A 40 foot beam is to be cut in two. If one portion is one third the length of the other portion, what are the two length of the portions?

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A 40 foot beam is to be cut in two. If one portion is one third the length of the other portion, what are the two length of the portions?
.
Let x = length of larger portion
then
x/3 = length of smaller portion
.
x + x/3 = 40
multiplying both sides by 3:
3x + x = 120
4x = 120
x = 30 feet (larger portion)
.
smaller portion:
x/3 = 30/3 = 10 feet

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