Question

The sum of two numbers is 37 and the difference of their squares is 185, then the difference of the two numbers is:

Answer 1

hope it will help you

Answer 2

Answer:

let the numbers be x and y,

according to the question,

x + y = 37. i

and

x² - y² = 185 ........ii

on dividing equation ii by equation i

$\frac{ { {x}^{2} - {y}^{2} } }{x + y} = \frac{185}{37} \\ = > \frac{(x + y)(x - y)}{(x + y)} = 5 \\ = > x - y = 5$

, x - y = 5 .......iii

the difference of two numbers is 5

Step-by-step explanation:

now,

on solving equation i and equation iii

we get,

x = 21

and y = 16..

so, the numbers are 21 and 16.