Question

if a:b=3:5 and b:c=10:13.find a:b:c.

Answer 1

Answer:

A:B=3:5 (1)

B:C=10:13 (2)

L.C.M of the B=5 and 10=5

So Multiply (1) by 2

A:B=3:5

= (3*2):(5*2)

=6:10

So A:B:C

6:10:13 (answer)

Answer 2

Answer:

$a:b:c=6:10:13$

Step-by-step explanation:

Given : If a:b=3:5 and b:c=10:13.

To find : a : b : c ?

Solution :

We have given the ration of a : b=3 : 5 and b : c=10 : 13

We have to make the b same so we multiply and divide a:b by 10 and b:c by 5,

$a:b = 3:5 = 3 \times 10:5 \times 10 = 30:50$

$b:c=10:13 = 10 \times 5:13 \times 5 = 50:65$

So, $a:b:c=a:b::b:c$

$a:b:c=30:50:65$

$a:b:c=6:10:13$

Therefore, $a:b:c=6:10:13$