Question

the sum of two numbers is 29 and the difference of their squares is 145. the difference between the number is

Answer 1

Hey!!!

Here is your answer__________

let a and b the two numbers.

from given first condition,

(a + b) = 29 -------------(1)

by given second condition,

(a^2) - (b^) = 145 ----------(2)

we know that,

x^2 - y^2 = (x + y)( x - y)

hence equation (2) can be written as,

(a + b)(a - b) = 145

from equation (1) we get,

29(a - b) = 145

(a - b) = 145/29

(a - b) = 5

therefore the difference between the numbers is 5.

------------------------------------------------

Hope this answer will help u....