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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?

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? 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
8 months ago
Dear Student

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=-1⁄2
Therefore, the rational number is -1⁄2.

Thanks

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