Question

if A:B=13:14, B:C= 15:16, C:D= 17:18 then find the value of A:D​

Answer 1

Answer:

13:18 is the answer for A:D.

Answer 2

Answer:

A:D = 3315: 4032 or 1105 : 1344

Step-by-step explanation:

This type of sum is know as joint ratio.

A    B    C    D

13    14

       15  16

             17   18  

To Find A:B:C first, let us take an LCM of B (as B is the common value in both the ratios) in both the ratios.

LCM (14,15) = 210

Now, let us substitute the ratio and change the other values according to LCM.

13 * 15 : LCM : 16 * 14

Therefore A:B:C = 195: 210: 224.

Now let us take LCM of C in both the ratios because C is the common factor now.

LCM ( 224, 17 ) = 3808

Now let us substitute:

195 * 17: 210 * 17: LCM : 18 * 224

Therefore, A:B:C:D = 3315: 3570: 3808: 4032

Now to find A:D, Let us simply take the values of A and D from A:B:C:D and put it together in the ratio.

So, A:D = 3315: 4032 or 1105 : 1344