Question

The sum and product of 2 numbers are 25 and 144 difference between them is

Answer 1

Given,

Let the no. be x and y

x+y=25

x×y=144

Also,

16+9 = 25

16×9 = 144

Hence x = 16
Hence y = 9

OR

x = 9
y = 16

Difference between them is

16-9

=> 7

Answer 2

let, one no.be x
other no.be y
according to question,
x+y=25,..... (1)
x×y=144..... (2)
from(1)
y=25-x..... (3)
put in equation (2)
we get, x (25-x)=144
25x-x×x=144
x×x-25x+144=0
x=16
put x in equation(3)
y=25-16=9
y=9
so, two no. are 16,9
hence, difference is 7