the ratio of two numbers is 3:4. if 10 is added to each of them, the ratio of the sums is 5:6. find the numbers.
Answers
Answered by
10
Answer:
3x = 3 × 5 = 15
4x = 4 × 5 = 20
the numbers are 15 and 20
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khushalrathod201345:
thanks you
Answered by
65
Topic :-
Ratio and Proportion
Given :-
The ratio of two numbers is 3 : 4. If 10 is added to each of them then ratio between them becomes 5 : 6.
To Find :-
The given numbers.
Solution :-
Let 'x' be a common multiple between the given numbers.
So, numbers become 3x and 4x.
Now, adding 10 to both of them.
New numbers are ( 3x + 10 ) and ( 4x + 10 ).
Now, it is given that their ratio is 5 : 6.
Now, cross multiply,
6( 3x + 10 ) = 5( 4x + 10 )
18x + 60 = 20x + 50
20x - 18x = 60 - 50
2x = 10
x = 5
So, numbers are :-
3x = 3(5) = 15
4x = 4(5) = 20
Answer :-
So, the numbers are 15 and 20.
Verification :-
Numbers are satisfying given conditions.
Hence, verified.
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