Question

If a : b = 3 :2 and b :C = 3 : 2 find the value of ( a + b ):(B + c)​

Answer 1

Answer:

3:2

Step-by-step explanation:

a : b = 3:2

b : c = 3:2

In order to make an equivalent ratio of a : b : c , we have to equate b .

Now , L.C.M. of 3 and 2 is 6 , so , let's make b as 6 in both the ratios a:b and b:c

So,

a:b = 3:2 = 9:6 and b:c = 3:2 = 6:4

Thus , a:b:c = 9:6:4

Let a be 9k , b be 6k and c be 4k ( where k is a proportionality constant)

a+b = 9k + 6k = 15k

b+c = 6k + 4k = 10k

(a+b) : (b+c) = 15k : 10k = 3:2

Answer 2

Answer : 3/2

Step-by-step explanation:

a b c

3 2

3 2

Put the nearest number

a b c

3 2 2

3 3 2 ( multiply the values )

-------

9 6 4

so a=9 b=6 c=4

so a+b=9+6=15

b+c=6+4=10

(a+b):(b+c)=15:10=3:2

Hope this helps you