Question

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

Answer 1

To find : original numbers .

Given : sum of two numbers  is $100$ and ratio of numbers is  $16:9$ .​

Solution :

• As per the given condition we know that sum of two numbers is $100$ and ratio of numbers is  $16:9$ .
• Let , $16x$ and $9x$ be the two numbers .
• Then according to condition we write as , $16 x + 9x =100$
• Using transposition method we find the value of $x$ , by transposing constants at RHS and leaving variables at LHS .

• $16 x + 9x =100$  

        $25x = 100 \\ x=\frac{100}{25} \\ x= 4$

• Now , original numbers are  :

       $16 x = 16\times 4 = 64 \\ 9x = 9\times 4 = 36$

Hence , numbers in ratio $16:9$ are $64$ and $36$ respectively  .