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​

Answer 1

Let the number be 'x'.

Then, x × $\frac{5}{2}$ + $\frac{2}{3}$ = $\frac{7}{12}$

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

          x × $\frac{5}{2}$ = $\frac{7 - 8}{12}$

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

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

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

          x = $\frac{-2}{60}$ = $\frac{-1}{30}$

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Answer 2

Answer:

Let the number b x

(x )(5/2)+2/3=7/12

5/2x=7/12-2/3

5/2x= -1/12

x= -1/12×2/5

x=-2/60

x=-1/30

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