A rational number is such that when you multiply it by $$\frac{5}{2}$$ and $$\frac{2}{3}$$ add to the product, you get $$-\frac{7}{2}$$ . What is the number?

Asked by Aaryan | 1 year ago |  193

##### Solution :-

Let the number be x.

According to the given question,

$$\frac{5}{2}x + \frac{2}{3} = -\frac{7}{12}$$

On transposing $$\frac{2}{3}$$ to R.H.S, we obtain

On multiplying both sides by $$\frac{2}{5}$$, we obtain

x = $$-\frac{15}{12} \times \frac{2}{5} = -\frac{1}{2}$$

Hence, the rational number is $$-\frac{1}{2}$$.

Answered by Sakshi | 1 year ago

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