Question

A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12. What is the number?

Answer 1

let rational no be x.
then
5x/2 + 2/3 = -7/12
5x/2 = -7/12 - 2/3
5x/2 = (-7-8)/12
5x/2 = -15/12
x = -1/2

Answer 2

Let the rational be x.

According to the question,

x × (5/2) + 2/3 = -7/12

⇒ 5x/2 + 2/3 = -7/12

⇒ 5x/2 = -7/12 – 2/3

⇒ 5x/2 = (-7- 8)/12

⇒ 5x/2 = -15/12

⇒ 5x/2 = -5/4

⇒ x = (-5/4) × (2/5)

⇒ x = – 10/20

⇒ x = -½

Therefore, the rational number is -½.