Question

(x +3),1,(3x = 7) and 5 are in proportion. The value of x is ______.

Options

• −1

• 1

• −5

• 5

Answer 1

(x +3),1,(3x = 7) and 5 are in proportion. The value of x is −1.

Explanation:

Given: (x + 3), 1, (3x − 7) and −5 are in proportion.

∴ `(x + 3)/1 = (3x - 7)/(-5)`

⇒ `(x + 3)/1 = (3x - 7)/(-5)`

⇒ −5(x + 3) = (3x − 7)

⇒ −5x − 15 = 3x − 7

⇒ −5x − 3x = 15 − 7

⇒ −8x = 8

⇒ x = −1