what should be subtracted from each of the ratio 2:3 to make it the ratio of it the ratio 3:5
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Step-by-step explanation:
Given :-
The ratio is 2:3
To find :-
What should be subtracted from each of the ratio 2:3 to make it the ratio of it the ratio 3:5 ?
Solution:-
Given ratio is 2:3
Let the number should be subtracted from the given ratio be X
On subtracting X from the ratio
=> (2-X):(3-X)
The result = 3:5
=> (2-X):(3-X) = 3:5
=> (2-X)/(3-X) = 3/5
On applying cross multiplication then
=> 5(2-X) = 3(3-X)
=> 10-5X = 9-3X
=> 10-9 = -3X+5X
=> 1 = 2X
=> X = 1/2
Therefore,X = 1/2
Answer:-
The number should be subtracted from the given ratio is 1/2
Check:-
The ratio = 2:3
The number should be subtracted = 1/2
=> (2-1/2):(3-1/2)
=> (4-1)/2 : (6-1)/2
=>>3/2 : 5/2
=> (3/2)/(5/2)
=> (3/2)×(2/5)
=> 3/5
=> 3:5
Verified the given relation.
Used formulae:-
- a:b can be written as a/b.
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