Answer:
Explanation:
You want the present ages of A and B if A is 5 years older, and 5 years ago the ratio of their ages was 3:2.
Ratio
The difference in ratio units is 3-2 = 1. The difference in their ages is 5 years, so 1 ratio unit corresponds to 5 years.
5 years ago, their ages were 3·5 : 2·5 = 15 : 10.
Now, their ages are ...
A = 20
B = 15
__
Additional comment
If you like, you can write an equation for their ages:
(a-5)/(a-5-5) = 3/2
2(a -5) = 3(a -10) . . . . . cross multiply
2a -10 = 3a -30 . . . . . . simplify
20 = a . . . . . . . . . . . . add 30-2a
<95141404393>