question_answer

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

Answer:

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.