Question

The sum of two number is 9.the difference between in their square is also 9.find the two numbers

Answer 1

Answer:

a+ b=9equation 1st

a2-b2=9 equ 2

compare equation 2nd from 1st

We get

a-b=9equ 3rd

then we tally equ 1 and 3:

We get

a=18

then put a in equ 1st

b= 9

Answer 2

Answer:

let the no.s be x and y

condition 1: x+y=9.......A

condition 2: x²-y²= 9

wkt, x²-y²= (x+y)(x-y)

=> 9= (9)(x-y)

=> x-y= 1 .......B

Add A and B

x+y+x-y=9+1

2x=10

x=5

subs x=5 in A

5+y=9

y=4

therefore, the no.s are 5 and 4

hope it helps u....^_^