Question

if a:b= 3:4 and b:c= 7:9 find a=c​

Answer 1

Step-by-step explanation:

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.

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