Question

If a:b=4:9 & b:c = 3:5
what will be a:b:c? ​

Answer 1

Answer:

4:9:15

Step-by-step explanation:

Here the common term is b which is found in both the ratios.

Ok now let’s look at the value of b in 1st ratio. It is 9. And 3 in the second.

Now we have to take the LCM of these two values so that we are changing the value of b into the LCM value in both the ratios. The LCM is 9.

now ist ratio will be 4:9

and 2nd ratio will be 9:15

so,Now that the value of b in both the ratio being same we can concatenate them. Hence a:b:c=4:9:15

Hope you understand the logic!

hope it will help you if it is right mark me as brainliest

Answer 2

Answer:

Given that a:b=5:9 and b:c=4:7.

Here the common term is b which is found in both the ratios.

Ok now let’s look at the value of b in 1st ratio. It is 9. And 4 in the second.

Now we have to take the LCM of these two values so that we are changing the value of b into the LCM value in both the ratios. The LCM is 36.

So we change the value of b into 36 in the 1st and 2nd ratio. 9*4=36. So multiply the whole 1st ratio by 4 making a:b=20:36

Similarly change the value of b as 36 in the second ratio. 4*9=36. Hence multiply the entire second ratio by 9 making b:c=36:63.

Now that the value of b in both the ratio being same we can concatenate them. Hence a:b:c=20:36:63.

Hope you understand the logic!