Question

If 3A=5B and 4B=6C finda) A:Cb) A:B:C

Answer 1

3A = 5B ------(1)
4B = 6C or, 2B = 3C ------(2)

now, multiply with 2 in equation (1)
6A = 10B ------(3)

again , multiply with 5 in equation (2)
10B = 15C ------(4)

now , from equations (3) and (4)
6A = 10B = 15C
means 6A = 15C
A/C = 15/6 = 5/2 => A : C = 5 : 2

6A = 10B = 15C = k
A = k/6
B = k/10
C = k/15

hence, A : B : C = k/6 : k/10 : k/15
= 1/6 : 1/10 : 1/15
= 5 : 3 : 2