Question

SAT
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On the off chance that 4a= 5b and 8b = 9c find a:b:c​

Answer 1

Answer:

a:b:c=45:36:32

Step-by-step explanation:

Given :4a=5b4a=5b

So,a=\frac{5b}{4}a=

4

5b

We are also given 8b=9c

So, c=\frac{8b}{9}c=

9

8b

So, a:b:c=\frac{5b}{4}:b:\frac{8b}{9}a:b:c=

4

5b

:b:

9

8b

a:b:c=\frac{45b}{36}:36b:\frac{32b}{36}a:b:c=

36

45b

:36b:

36

32b

a:b:c=45:36:32a:b:c=45:36:32

Hence a:b:c=45:36:32