If a/b=3/2 and b/c=3/5, then the value of (a+b)/(b+c) is:

Correct option is B

GIVEN:
A : B = 3 : 2 --- (1)
B : C = 3 : 5 --- (2)
Solution:
A:B = 3:2
B=2 when A=3
B:C = 3:5 B=3
when C=5
To compare a, b, and c, we need to find a common value for b. We can do this by finding the least common multiple (LCM) of 2 and 3, which is 6.
Adjust the ratios: Multiply both sides of a:b = 3:2 by 3 to get a:b = 9:6.
Multiply both sides of b:c = 3:5 by 2 to get b:c = 6:10.
Combine the ratios: Now we can combine the ratios: a:b:c = 9:6:10.
Calculating $$\frac{(a+b)}{(b+c)}$$​ becomes $$\frac{(9+6)}{(6+10)}$$​= $$\frac{15}{16}$$​​