Question

13. A rational number is such that when you multiply it by5/2
and add2/3
to the product
you get
–7/12

What is the number?​

Answer 1

Answer:

Let the rational number be - x

Multiply it by 5/2 and add 2/3 to the product and we get -7/12.

( 5/2 × x ) + 2/3 = -7/12

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

(15x + 4)/6 = -7/12

By cross multiplication :-

12 ( 15x + 4) = 6 (-7)

180x + 48 = -42

180 x = -90

x = -2

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