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

Answer:

-7/30

Step-by-step explanation:

let the rational no. be 'X'

X × 5/2 = (-7/12) - (2/3) [Lcm=12]

= (-7-8)/12

=-3/4

X × 5/2 = -3/4 + 2/3

X × 5/2 = -7/12

X= -7/12 × 2/5 [Reciprocal]

X=-7/30

therefore, the required rational no. = -7/30

Hope it is helpful..:)

Answer 2

Answer:

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.