Question

Find a : b : c, given that a : b = 11 : 14 and b : c = 21 : 24​

Answer 1

Answer:

a : b : c = 11 : 35 : 24

Step-by-step explanation:

Given

Ratios

a : b = 11:14

b : c = 21:24

a : b : c = ?

a = 11

b = 14 + 21

c = 24

a:b:c = 11 : 35 : 24

Answer 2

a:b:c = 11:14:816

Explanation:

Given :

1.  a : b = 11 : 14

2.  b : c = 21 : 24

To find:

a : b : c

==> In that given condition both have common value B

==> a: b = 11:14

==> b:c = 21:24

==> 21 and 24 can be divided by 3

==> b:c = 7:8

==> a = 11

     b = 14

     b = 7

     c = 8

==> There are two b values

==> Two values are different

==> Two values must be same

==> Consider two values 14 and 7

==> Both are the 7 multiples

==> a:b = 11(1) : 14(1)

==> b:c = 7(2):8(2)

==> b:c = 14:16

==> 7×2 = 14   and   14×1 =14

==> Now,  b value is same.

==> a = 11

     b = 14

     b = 14

     c = 16

==> a:b:c = 11:14:16