Question

The difference between two whole numbers is 96. The ratio of the two number is 3:7. What are the two numbers?

Please answer briefly

Answer 1

Step-by-step explanation:

Let the two numbers be x and y ,

Now , according to the condition given in the question,

the two numbers are in the ratio of 3:5

=> x/y = 3/5

=> 5x = 3y _._. _._._._._.(1)

Now, again , as per the second condition given in the question,

the sum of the two numbers are 96

=> x + y = 96 _._._._._._._._.(2)

From equation (1) => x = 3y/5

Putting this value of x in equation (2),

=> 3y/5 + y = 96

=> 8y/5 = 96

=> y = 96×5/8

=> y = 60

Putting this either in equation (1) or (2), we will get

x = 36

Hence, we get the bigger number of the two as 60.

Hope your doubt must be cleared!

Have a nice day,

Thank you!

Answer 2

let the whole no be 3x and 7x

according to the question

3x-7x = 96

-4x = 96

x= -24

hence the no are 3x = 3×-24 = -72

7x = 7× -24 = -168