Question

The difference between the two
numbers is 48. The ratio of the two
numbers is 7:3. what are the two
numbers? ​

Answer 1

first number= 7x

second number= 3x

a/q           7x-  48= 3x

            ⇒  7x-3x = 48

            ⇒  4x = 48  

            ⇒  x = 48/4

            ∴   x= 12

so one of the number is= 7x= 7*12= 84

second number= 3x = 3*12= 36

their difference=  84-36=  48

and they are in the ratio 7:3

so  84 and 36 are the two numbers.

Answer 2

Answer:

48, 48

Explanation:

let the no. be = x

first no. = 7x

second no. = 3x

Difference of these no.=48

7x-3x = 48

4x = 48

x = 48/4

x = 12

First no. = 7x = 7*12 = 84

Second no. = 3x3*12 = 36

Verify by putting the value of x on the place of x:

7x-3x=48

7(12)-3(12)=48

84-36=48

48=48

L.H.S  = R.H.S