Question

4.
xa+b.x+x-a
The value of
is equal to
b
.X​

Answer 1

The given expression is

x+a. b-a

------ ==> ------

x-b. b+a

We have to find, the value of x is:

Solution:

x−a

x+a

=

b+a

b−a

By cross-multiplication, we get

(x + a)(b + a) = (x - a)(b - a)

⇒ x(b + a) + a(b + a) = x(b - a) - a(b - a)

⇒ xb + xa + ab + a^2a

2

= xb - xa - ab + a^2a

2

⇒ xb - xb + xa + xa+ a^2a

2

- a^2a

2

= - ab - ab

⇒ xa + xa = - 2ab

⇒ 2xa = - 2ab

= −2ab

⇒ x = - b

∴ x = - b

Thus, the value of 'x is equal to - b'.