Question

which number must be added to each of the numbers 7 and 13 so that the resultant numbers will be in the ratio 2:3?​

Answer 1

Answer:

(7+X) : (13+X) = 2 : 3

3*(7+X) = 2*(13+X)

21 + 3x = 26 + 2x

3x - 2x = 26 - 21

x = 5

Therefore,5 must be added to 7 and 13 so that the resultant numbers will be in the ratio 2:3.

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Answer 2

Question :

which number must be added to each of the numbers 7 and 13 so that the resultant numbers will be in the ratio 2:3?

Answer :

$\sf\pink{Given:}$

• two numbers are 7 and 13 .

• their resultant ratio after adding a number to each is 2:3 .

$\sf\pink{To\:find:}$

• The number to be added ?

Explanation :

• let the number "x" be added .

Therefore ,

$\\ \longrightarrow\sf{ \dfrac{7 + x}{13 + x} = \dfrac{2}{3}}$

$\\ \longrightarrow\sf{3\times ( 7 + x) = 2\times ( 13 + x)}$

$\\ \longrightarrow\sf{21 + 3x = 26 + 2x}$

$\\ \longrightarrow\sf{3x - 2x = 26 - 21}$

$\\ \longrightarrow\sf{x = 5}$

• Therefore 5 is the number that must be added .