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
Answers
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
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
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