If two numbers are in the ratio 4:7. If 10 is added to both of the numbers then the ratio becomes 6:10 then find the largest number?	Choose the correct choice from the following.
A) 80 B) 40 C) 140 D) 100 E) None of these
Explanation:   4:7   4x + 10 : 7x + 10 = 6 : 10   10[4x + 10] = 6[7x + 10]   40x + 100 = 42x + 60   100 – 60 = 42x – 40x   2x = 40   X = 20   Then the first number is = 4   7x = 140   Short cut method:   a:b = 4:7   c:d = 6:10   1.Cross multiplication with both ratios   a * d ~ b * c = 4 * 10 ~ 7 * 6 = 40 ~ 42 = 2   2. If 10 is added both the number means   10 * 6= 
<gadget id="calculator">  10 * 6</gadget>
<output>60</output>
60 and   10 * 10= 
<gadget id="calculator">  10 * 10</gadget>
<output>100</output>
100,   Then 60 ~ 100= 40   ===&gt; 2 -----&gt; 40   ===&gt; 1 -----&gt; 20   ==&gt; 7 -----&gt; 140   Answer: Option 140
<result>C</result>
If two numbers are in the ratio 4:7. If 10 is added to both of the numbers then the ratio becomes 6:10 then find the largest number?