Question

The ratio of two numbers is 2:3 and their sum is 85. Find the numbers. ​

Answer 1

Answer:

The numbers are 37 & 51

Step-by-step explanation:

Two given two numbers in the ratios 2:3

Let the ratio be 2x:3x

Sum of their ratios is 85

2x + 3x = 85

5x = 85

x = 85 ÷ 5 = 17

So, the numbers are 2 × 17 & 3 × 17

The numbers are 37 & 51

Answer 2

To find : missing numbers .

Given : ratio of two numbers is $2:3$ and their sum is $85$ .

Solution :

• As per given data we know that ratio of two numbers is $2:3$ and their sum is $85$ .
• Let , $2x$ and $3x$ be the two numbers in ratio .
• According to given condition we write as  , $2x + 3x =85$ .
• Using transposition method we find value of $x$.

• $2x + 3x =85$  

       $5x = 85 \\ x =17$

• Now , substituting the value of $x$ in numbers  $2x$ and $3x$ to find original numbers .

        $2x = 2\times 17 = 34 \\3x = 3\times 17= 51$

Hence , numbers is ratio are $34$ and  $51$ .