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.
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