Answers

2015-09-21T14:53:48+05:30
The numbers are 3x and 5x
each increased by 10 = 
3x+10 and 5x+10
Ratio of new numbers formed= 5:7= 5/7
So
(3x+10)/(5x+10)= 5/7
Now Cross multiplication
7(3x+10)= 5(5x+10)
21x+70=25x+50
Transposing
70-50=25x-21x
20=4x
x=5

Hope it helps....
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2015-09-21T15:09:51+05:30
Let the numbers be 3x and 5x.

If each increased by 10, the numbers will be 3x+10 and 5x+10
GIven that the ratio of new numbers is 5:7

 \frac{3x+10}{5x+10} = \frac{5}{7} \\ \\ \Rightarrow 7(3x+10) = 5(5x+10)\\ \\ \Rightarrow 21x+70 = 25x+50\\ \\ \Rightarrow 70-50=25x-21x\\ \\ \Rightarrow 4x=20\\ \\ \Rightarrow x =  \frac{20}{4}=5

Numbers are:
3x = 3×5 = 15
5x = 5×5 = 25
Numbers are 15 and 25.
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