Question

Difference of two real number is 7 and the difference of their squares is 210 what will be the sum of this number

Answer 1

Hey!!!


Here is your answer______

let a and b be two numbers.

by given first condition,

(a - b) = 7 ----------(1)


by second condition,

a^2 - b^2 = 210 ---------------(2)

we know that,

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


equation (2) can be written as,

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

210 = (a + b).7

ie. (a + b) = 210/7

(a + b) = 30

therefore the sum of given numbers is 30.

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Hope this answer will help u.....