Question

Find A:B:C when A :B= 2:5 and B:C= 7:9

Answer 1

Answer:

A : B : C = 14 : 35 : 45

Step-by-step explanation:

A : B = 2 : 5

Multiply by 7 through:

A : B = 2 x 7 : 5 x 7

A : B = 14 : 35

B : C = 7 : 9

Multiply by 5 through:

B : C = 7 x 5 : 9 x 5

B : C = 35 : 45

FInd A : B : C

A : B : C = 14 : 35 : 45

Answer: A : B : C = 14 : 35 : 45

Answer 2

Given that a:b=2:5 and b:c=7:9

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 5. And 7 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 35.

So we change the value of b into 35 in the 1st and 2nd ratio. 7*5 = 35 So multiply the whole 1st ratio by 7 making a:b = 14 : 35

Similarly change the value of b as 35 in the second ratio. 7*5 = 35. Hence multiply the entire second ratio by 5 making b:c = 35:45

Now that the value of b in both the ratio being same we can concatenate them. Hence a:b:c=14:35:45