Question

what number must be subtracted from each term of ratio 4:9so, that itmay become equal to 9:4​?

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

• We are given first ratio as 4:9
• Let us take the ratio constant as x.
• So, we can say that 4 and 9 are the constants from which x has to be subtracted.

According to Question:-

$\dfrac{4-x}{9-x} = \dfrac{9}{4}$

$4(4-x) = 9(9-x)$

$16 - 4x = 81 - 9x$

$9x-4x = 81-16$

$5x = 65$

$x = \dfrac{65}{5}$

$\boxed{x = 13}$

So, 13 must be subtracted from the ratio to get the respective values.

Things to Note:-

• Always when ratio questions occur, assume a constant such as x.
• This helps to frame the cases better .
• We should always find out the values of constant first.
• This is the basic of the question, and after that we can find out the other values.