Question

Find a number which, when added to both terms of the ratio 3 : 5, may make it equal to 4 : 5.​

Answer 1

Step-by-step explanation:

3/4 is the right answer cut the 5 and 5

Answer 2

$\sf\huge\bold{Answer:}$

Given :

ratio 3:5

To find :

a number which, when added to both terms of the ratio 3 : 5, may make it equal to 4 : 5.

Solution :

Let the numbers be 3x and 5x.

By adding y to each of them the ratio becomes 4:5.

⇒ (3x+y):(5x+y) = 4:5

⟶5(3x+y) = 4(5x+y)

⟶15x + 5y = 20x + 4y

⟶5x = y.

$\fbox{Case : 1}$

Suppose x = 1,

the original numbers are 3 and 5 and the revised numbers by addition of 5 become

⇒3+5 = 8 and

⇒5+5 = 10

and the ratio of the two revised numbers is

thus

⇒ 8:10 = 4:5.

$\fbox{☆Note☆ :}$So x can be any value. And, it will work out to be the same.

$\fbox{Case : 2}$

Suppose x = 7. Thus,the original numbers are 21 and 35.

The first revised number will be 21+(5 × 7)

⇒ 21+35 = 56.

The second revised number will be 35+(5 × 7)

⇒ 35+35 = 70.

The ratio of

56:70 = 4:5.