Question

can anyone give me the answer
Give reasons also

Answer 1

Answer: Option(C)


Given A:B= 2:3, B:C=4:5, C:D=6:7.


$B : C = (4 * \frac{3}{4}) : (5 * \frac{3}{4} )$

                $= 3 : \frac{15}{4}$


$C : D = (6 * \frac{15}{24}) : (7 * \frac{15}{24} )$

                $= \frac{15}{4} : \frac{35}{8}$

 

Now,


$A : B : C : D = 2 : 3 : \frac{15}{4} : \frac{35}{8}$

LCM = 8.

Therefore,

A : B : C : D = 16 : 24 : 30 : 35

Hope this helps!