Question

Find the value of x for which the expression `x/(5) + 2 "and"  x/(3) - 4` are equal.

Answer 1

We are to find the value of x for which the two expressions are equal:

i.e., `x/(5) + 2 =  x/(3) - 4` 

⇒ `x/(5) - x/(3)` = -2 - 4

⇒ Taking LCM,

`(3x - 5x)/(15)` = -6

⇒`(-2x)/(15)` = -6

On Cross - multiplying, we get:
2x = 15 x 6
⇒ x = 45.