Two numbers are in the ratio 5:7.if 2 is subtracted from each numbers,then the ratio becomes 7:10.find the numbers
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Answer:
The numbers are in the ratio 5:7
Let their common multiple be 'x'
The numbers are 5x, 7x
If 3 is subtracted from each of them the ratio becomes 2:3
5x-3/7x-3 = 2/3
3(5x-3) = 2(7x-3) (cross multiplication)
15x -9 = 14x -6
15x-14x = -6+9
x=+3
Therefore the numbers are 5* 3 =15, 7*3 = 21
(Verifications when 3 is subtracted from each other ,the ratio is 2/3, 15–3/21–3 = 12/18 = 2/3 ) verified)
The numbers are 15 & 21.
Step-by-step explanation:
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Given :-
Two numbers are in the ratio 5:7.if 2 is subtracted from each numbers,then the ratio becomes 7:10
To Find :-
Numbers
Solution :-
Let the number be 5x and 7x
Now
When 2 subtracted
5x - 2/7x - 2 = 7/10
10(5x - 2) = 7(7x - 2)
50x - 20 = 49x - 14
50x - 49x = 20 - 14
x = 6
Now,
Number are
5x = 30
7x = 42
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