Q:

A-B=18 A:B is equivalent to 11:5

Accepted Solution

A:
one way is to use brute force (find bigger equivalent ratios and add them)
11:5
to make them bigger, we multiply both by the same number 
11:5
11+5=16 nope
11:5 times 5 to both=55:25
add 
55+25=80
we can just add the numbers before multiplying and then multiply after

11+5=16
16 times what=18
divide both sides by 16
1.125=what
we need to multiply each by 1.125
11:5 times 1.125 to both =12.375 : 5.625
12.375+5.625=18

a=12.375
b=5.625

Hope this helps :)