Question

A Rational number is such that when you multiply it by 52 and add 23 to the product ,you get 712. what is the number??
please solve this question ​

Answer 1

Step-by-step explanation:

Let the rational number be x.

According to the question, \frac{5}{2}x+\frac{2}{3}=-\frac{7}{12}

2

5

x+

3

2

=−

12

7

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

2

5

x+

3

2

−

3

2

=−

12

7

−

3

2

[Subtracting \frac{2}{3}

3

2

from both sides]

\Rightarrow\ \frac{5x}{2}=\frac{-7-8}{12}⇒

2

5x

=

12

−7−8

\Rightarrow\ \frac{5x}{2}=\frac{-15}{12}⇒

2

5x

=

12

−15

\Rightarrow\ 5x\times12=-15\times2⇒ 5x×12=−15×2

\Rightarrow60x=-30⇒60x=−30

\Rightarrow\ \frac{60x}{60}=\frac{-30}{60}⇒

60

60x

=

60

−30

[Dividing both sides by 60]

\Rightarrow\ x=\ \frac{-1}{2}⇒ x=

2

−1

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

2

−1