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Question 3 If we multiply a number by 5/2 and add 2/3 to the product, we get (−7)/12 . Find the number. Let Number be x Given that, If Multiply number by 5/2 and add 2/3 to product, we get – 7/12 Therefore, 𝟓/𝟐 × 𝒙+𝟐/𝟑=(−𝟕)/𝟏𝟐 5𝑥/2+2/3=(−7)/12 𝟓𝒙/𝟐=(−𝟕)/𝟏𝟐 −𝟐/𝟑 5𝑥/2=(−7)/12 −(2 × 4)/(3 × 4) 5𝑥/2=(−7)/12 −8/12 5𝑥/2=(−7 − 8)/12 5𝑥/2=(−(7 + 8))/12 𝟓𝒙/𝟐=(−𝟏𝟓)/𝟏𝟐 𝑥 = (−15)/12×2/5 𝑥 = (−3)/6 𝒙=(−𝟏)/𝟐 ∴ The rational number is (−𝟏)/𝟐

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Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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