Question

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

A) 1

B) 2

C) 3

D) 5


​

Answer 1

What must be added to each term of the ratio 7:13 so that the ratio becomes 2:3?

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

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

21 + 3x = 26 + 2x

3x - 2x = 26 - 21

x = 5

5 is the Answer

Check:

(7+5) : (13+5) = 2 : 3

12 : 18 = 2 : 3

2 : 3 = 2 : 3

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

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

A) 1

B) 2

C) 3

D) 5

EVALUATION

Let P be the required number

So by the given condition

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

$\displaystyle \sf{ \implies \: \frac{7 + P}{13 + P} = \frac{2}{3} }$

$\displaystyle \sf{ \implies \: 21 + 3P = 26 + 2P}$

$\displaystyle \sf{ \implies \: P = 5}$

Hence the required number = 5

FINAL ANSWER

Hence the correct option is D) 5

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Divide Rs 200 in the ratio & 2:3

https://brainly.in/question/3194646412

2. Rs 80 paise : 14 Rs.40 Paise. Write the shortest form of a given ratio.

https://brainly.in/question/33396605