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3 years ago

The total length of two ships is 1841 feet. The difference in their lengths is 13 feet. Find the length of each ship.

Mathematics

1 answer:

lilavasa [31]3 years ago

8 0

9514 1404 393

Answer:

927 ft

914 ft

Step-by-step explanation:

The lengths are half the sum plus or minus half the difference:

1841/2 ± 13/2 = {1854/2, 1828/2} = {927, 914} . . . feet

Let x represent the shorter length. Then x+13 is the longer length. Their total is ..

x +(x +13) = 1841

2x = 1841 -13

x = (1841 -13)/2 . . . . half the sum minus half the difference

Then the longer length is ...

x+13 = (1841/2) -(13/2) +13

x +13 = (1841/2) +(13/2) . . . . half the sum plus half the difference

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