If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number? Choose the correct choice from the following answers:
A) 20  B) 25  C) 40  D) 44  E) 46
2:3   2x + 10 : 3x + 10 = 5 : 7   7[2x + 10] = 5[3x + 10]   14x + 70 = 15x + 50   15x - 14x = 70 - 50= 
<gadget id="calculator">70 - 50</gadget>
<output>20</output>
20   Then the first number is= 2   2x = 40   Short cut method:   a:b = 2:3   c:d = 5:7   1.Cross multiplication with both ratios   a * d ~ b * c = 2 * 7 ~ 3 * 5 = 14 ~ 15 = 1   2. If 10 is added both the number means   10 * 5= 
<gadget id="calculator">  10 * 5</gadget>
<output>50</output>
50 and   10 * 7= 
<gadget id="calculator">  10 * 7</gadget>
<output>70</output>
70,   Then 50 ~ 70= 20   ===&gt; 1 -----&gt; 20   ===&gt; 2 -----&gt; 40 (Answer is = 40)   40
<result>C</result>
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?