If two numbers are in the ratio 6:7. If 10 is Reduced to both of the numbers then the ratio becomes 5:6 then find the smallest number?	Choose the correct option:
A) 50	B) 30	C) 60	D) 70	E) 80
Explanation:   6:7   6x - 10 : 7x - 10 = 5 : 6   6[6x - 10] = 5[7x - 10]   36x - 60 = 35x - 50   36x - 35x = 60 - 50= 
<gadget id="calculator">60 - 50</gadget>
<output>10</output>
10   the small number is= 6   6x = 60 (Answer = 60)   Short cut method:   a:b = 6:7   c:d = 5:6   1.Cross multiplication with both ratios   a * d ~ b * c = 6 * 6 ~ 7 * 5 = 36 ~ 35 = 1   2. If 10 is reduced both the number means  10 * 5= 
<gadget id="calculator"> 10 * 5</gadget>
<output>50</output>
50 and   10 * 6= 
<gadget id="calculator">  10 * 6</gadget>
<output>60</output>
60,   Then 50 ~ 60= 10   ===&gt; 1 -----&gt; 10   ===&gt; 6 -----&gt; 60 (Answer is = 60)   Answer: Option 60
<result>C</result>
If two numbers are in the ratio 6:7. If 10 is Reduced to both of the numbers then the ratio becomes 5:6 then find the smallest number?