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

please give answer fast​

Answer 1

Step-by-step explanation:

so your ans in -1/30 ok

do you understand

Answer 2

☆☆ SOLUTION:-

Let the unknown required number be n.

$\pink{ \textbf{According to Question,}}$

$\bf{}\rightarrow n \bigg( \frac{5}{2} \bigg) + \bigg( \frac{2}{3} \bigg) = \frac{7}{12} \\ \\ \bf \to \: \: \frac{5n}{2} + \frac{2}{3} = \frac{7}{12} \\ \\ \bf \to \: \: \: \: \: \: \frac{5n}{2} = \frac{7}{12} - \frac{2}{3} \\ \\ \bf \to \: \: \: \: \: \:5n = \bigg( \frac{7 - 8}{12} \bigg)2 \\ \\ \bf \to \: \: \: \: \: \: 5n = \bigg( \frac{ - 1}{12} \bigg) \times 2 \\ \\ \bf \to \: \: \: \: \: \: 5n = \bigg( \frac{ - 1 \times \cancel2}{ \cancel2 \times 6} \bigg) \\ \\ \bf \to \: \: \: \: \: \: n = \frac{ \frac{ - 1}{6} }{5} \: \: = \frac{ - 1}{5 \times 6} \: \: = \red{ \frac{ - 1}{30} }$

Hence,

• (- 1)/30 is a required number which when multiplied by 5/2 and then added with 2/3 would result as 7/12 .