Question

The difference between the two numbers in 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:

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

HENCE PROVED

HOPE IT WILL HELP YOU!!