Question

if the differnece between two number is 8 and the difference between the squares is 160 then what are the numbres

Answer 1

let the number be x and y
x-y=8. eq1
x²-y²=160
(x+y)(x-y)=160
(x+y)8=160
x+y=20 eq2
adding eq1 and eq2
2x=28
x=14
y=6
I hope so it will be useful
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Answer 2

Answer:

Step-by-step explanation:

Let us suppose the number be x ana y.

Then,

According to 1st case

x-y=8.............1

According to 2nd case

x^-y^=160............2

Consider equation no. 1

x-y=8

x=y+8......3

Putting value of x in equation no. 2

(y+8)^-y^=160

y^+64+16y-y^=160

16y=160-64

16y=96

y=96/16

y=6

Putting value of y in equation no. 1

x-y=8

x-6=8

x=8+6

x=14

So the no.be 14 and 6