Two number are in the ratio 3:5. If each is increasd by 10,the rattio between the new numbers so formed is 5:7.find the original number.
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Answer:
let the numbers be 3x and 5x
new numbers will be 3x+10 and 5x+10
3x+10/5x+10=5/7
cross multiply
21x+70=25x+50
-4x=-20
X=5
number 1 is 15
number 2 is 25
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Answered by
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let first two numbers be 3x and 5x
let other two numbers be 5x and 7x
according to question equation=
3x+10/5x+10=5x÷7x
7x(3x+10)=5x(5x+10)
21x^2+70x=25x^2+50x
70x-50x=25^2-21x^2
20x=4x^2
20x÷4x=x
therefore x=5
so, original number=3x=3×5=15
=5x=5×5=25
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