find the value of x.
What must be added to each term of the ratio 3:5, so that it may become equal to 4 : 5?
Answers
Answered by
1
Step-by-step explanation:
Given :-
The ratio 3:5
To find :-
What must be added to each term of the ratio 3:5, so that it may become equal to 4 : 5?
Solution:-
Given ratio = 3:5
Let the number must be added to each term in the given ratio be X
Then the ratio becomes (3+X ):(5+X)
According to the given problem
The result = 4:5
=> (3+X ):(5+X) = 4:5
=> (3+X)/(5+X) = 4/5
On applying cross multiplication then
=> 5(3+X) = 4(5+X)
=> 15+5X = 20+4X
=> 5X-4X = 20-15
=> X = 5
Therefore, X = 5
The value of X = 5
Answer:-
The required number must be added to each term in the given ratio is 5
Check:-
The required number = 5 then
=> (3+5):(5+5)
=> 8:10
=> 8/10
=> 4/5
=> 4:5
Verified the given realtion in the given problem.
Used formulae:-
- a:b can be written as a/b
Similar questions