Question

The sum of two positive numbers is 48 and the difference of their squares is 576. Find the
numbers​

Answer 1

Answer:

one no.is 30 and other no.is 18.

Explanation:

let the two no.s be x and y, assuming that x is greater than y

so, given

x+y=48---------)i

also given

x^2 -y^2= 576

or, (x+y)(x-y)=576

putting the value of x+y from (i)

48(x-y)=576

or, x-y=576÷48=12

or, x-y=12---------)ii

adding(i)&(ii) we get,

2x=60

or, x=30

putting value of x=30 in (i)

30+y=48

or, y=48-30=18

or, y=18

so,

x=30

y=18