Correct Answer - Option 4 : 2
Calculation:
5(x + 1) + 5(2 - x) = 53 + 1
⇒ 5x × 5 + 52 × 5-x = 125 + 1 = 126
⇒ 5y + 25/y = 126 ----(1) where, y = 5x
⇒ 5y2 - 126y + 25 = 0
⇒ 5y2 - 125y - y + 25 = 0
⇒ 5y(y - 5) - (y - 25) = 0
⇒ (5y - 1)(y - 25) = 0
⇒ y = 1/5 or y = 25
When, y = 1
⇒ 5x = 1/5 = 5-1
⇒ x = -1, which is not possible as we need only +ve value of x.
And, when y = 25
⇒ 5x = 25 = 52
x = 2 which is +ve
∴ The positive value of x is 2.