Question

2. The ratio of two numbers is 2: 3 and their sum is 85. Find the numbers. [Ans. 34 and 51]​

Answer 1

Answer:

ratio of the numbers = 2:3

Sum = 85

let the numbers be 2x , 3x

2x + 3x = 85

5x = 85

x = 85/5 = 17

2x = 2 × 17 = 34

3x = 3 × 17 = 51

The two numbers are 34 & 51.

Answer 2

Answer:

34 and 51

Step-by-step explanation:

Given -

Two numbers are in ratio = 2 : 3

Sum of both numbers = 85

To find -

The numbers

Solution -

Let us consider both number as 2x and 3x respectively

Sum of 2x and 3x = 85

=> 2x + 3x = 85

=> 5x = 85

=> x = 85/5

=> x = 17

First number = 2x = 2×17 = 34

Second number = 3x = 3×17 = 51

Both numbers are in ratio 2 : 3 and sum of both is 85. So our answer is correct.

hope it helps.