Question

The sum of two number is 96 and their difference is 72 Find the number​

Answer 1

Step-by-step explanation:

let the numbers be x and y

x+y=96,...(1)

(sum of two nos is 96)

x-y=72,...(2)

(difference of two nos is 72)

adding equations 1 and 2

2x=96+72

2x=168

x=84

REPLACING X IN EQUATION 2

x-y=72

84-y=72

y=84-72

y=12

VERIFICATION of the values in eqn 1

84+12=96

Hence verified

that the nos are 84 and 12

Answer 2

12 and 84

Step-by-step explanation:

x+y=96

x-y=72

x= 84 and y =12