Question

Two numbers are in the ratio 2:5. If 10 is added to each, they are in the ratio 1:2. The value of the first member is

Answer 1

Answer:

$20$

Step-by-step explanation:

Given that two numbers are in the ratio $2:5$

Let the common multiple be $x$

⇒The two numbers are $2x$ and $5x$

It is also given that if $10$ is added to the numbers they are in the ratio $1:2$

⇒$\frac{2x+10}{5x+10} =\frac{1}{2}$

⇒$4x+20 = 5x + 10$

⇒$-x + 10 = 0$

⇒$x = 10$

We now have the value of the common multiple

∴The Two Numbers are:-

  $2x = 2(10) = 20$

  $5x = 5(10)= 50$

∴The first member is $20$

Answer 2

Answer:

12:25 - VALUE

Step-by-step explanation:

2:5 = 12:25

12 - 2 = 10

25 - 5 = 20

10 BY 20 =1:2