• # question_answer Find two numbers, whose sum is 100 and whose ratio is 9:16.

Let the sum of two numbers $=9x+16x=25x$ [where, x is multiple of two numbers] Sum of two numbers $=9x+16x=25x$                                                                                                               Here, sum of two numbers = 100         [given] If the sum of two numbers is equal to the sum of two number?s ratio, then   $25x=100\Rightarrow x=\frac{100}{25}\Rightarrow x=4$ On putting the value of x in both ratios, we get First number $=9x=9\times 4=36$  and second number $=16x=16\times 4=64$                                                                   Hence, two numbers are 36 and 64, respectively.