If two segments AB and CD are in the ratio 3:5 andCD is longer than AB by 28 cm, how long is each segment?

1 Answer
Apr 2, 2015

|AB|=42 cm and |CD|=70 cm

Lets say that the length of AB is l and the length of CD is m.

We know these:

lm=35

m=l+28

So we can find the value of l

Lets replace m with l+28 in the first equation.

ll+28=35

5l=3(l+28)
5l=3l+84
2l=84
l=42 cm

Now we know the value of l, we knew that m=l+28 so:

m=42+28
m=70 cm