Question

• Three numbers are in the ratio 1:2:3. By add
ing 5 to each of them, the new numbers are in
the ratio 2:3:4. The numbers are:​

Answer 1

Answer:

The numbers are 5,10,15

Step-by-step explanation:

Let the numbers be X,2x,3x

Then on adding 5 to X, it becomes 2x

x+5=2x

or X=5

2x=10

3x=15

Answer 2

Given are the ratios of three numbers before and after increasing each by five, find the numbers.

Explanation:

• The ratio of the original three numbers is $1:2:3$ and their ratio after increasing each number by five is $2:3:4$.
• Now let there be two positive constant numbers 'n' and 'x'.
• Then let the original numbers be given by $n,\ 2n,\ 3n$.
• Then let the increased numbers be given by $2x,\ 3x,\ 4x$.  
• Now since each number is increased by five we get,
•                            $->n+5=2x\\->2n+5=3x\\->3n+5=4x$    
• Solving the above equations for the value of 'n' and 'x' we get, $n=5,\ \ x=5$  
• Hence the original numbers are $5,10,15$ and the increased numbers are $10,15,20$.