Question

A rational no. is such that when u multiply by 5/2 and add 2/3 to the product to get -7/12. what is the no. ?

Answer 1

Let the rational number be x

So acc to que

X×5/2+2/3=-7/2

5x/2+2/3=-7/2

Adding

15x+4/6=-7/2

Cross multiplication

180x+48=-42

180x=-42-48

180x=-90

X=-1/2

Hence the rational number is -1/2

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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.