A+b = 30 a:b is equivalent to 2:3. What is a& b

One way is to use brute force (find bigger equivilent ratios and add them)

2:3

to make them bigger, we multiply both by the same number

2:3

2+3=5 nope

2:3 times 2 to both=4:6

add

4+6=10

we can just add the numbers before multiplying and then multiply after

2+3=5

5 times what=30

divide both sides by 5

6=what

we need to multiply each by 6

2:3 times 6 to both = 12:18

12+18=30

a=12

b=18