Question

devide 49600 among a b & c in ratio of 1/2:1/3:1/5​

Answer 1

Answer:

The desired numbers are:24,000,16,000 and 9,600

Step-by-step explanation:

Given :

A number  n=49600

To Do:

Divide 49600 into three parts a,b and c

so that a:b:c=1/2:1/3:1/5

Solution:

a:b:c=1/2:1/3:1/5

LCM(2,3,5)=30

So a:b:c=15/30: 10/30:6/30

⇒ a:b:c=15:10:6

⇒ a/15 =b/10=c/6=k(say)

Then a=15k ,b=10k and c=6k

so a+b+c

=k(15+10+6)=49600

k=49600/31=1600

Hence a=15*1600=24000

b=10*1600=16000

and c=6*1600=9600

Answer:

The desired numbers are:24,000,16,000 and 9,600