Question

Which value of y would make OP ll LN? A 16 B 24 C 32 D 36

Answer 1

the final
answer is 36 

Answer 2

see the attached figure to better understand the problem

we know that

if OP ll LN

then

by proportion

$\frac{MO}{ML} =\frac{MP}{MN}$

we have that

$MO=28\ units \\ML=28+14=42\ units\\MP=y\ units\\MN=(y+18)\ units$

substitute

$\frac{28}{42} =\frac{y}{(y+18)}\\ \\28(y+18)=42y \\ \\42y-28y=28*18 \\ \\14y=504 \\ \\y=36\ units$

therefore

the answer is

The value of y is $36\ units$